These extremely large mushrooms have just popped up in my back yard in Jakarta, Indonesia. (The bill that is next to the one in the first photo is about the same size as a US dollar bill. That’s my [adult female average size] hand in the the second photo.)
https://postimg.org/image/1erq2y3ctn/
https://postimg.org/image/4yo4i25obf/9dccbd98/
What the heck are they - any guesses?
What do the caps look like on the underside? Standard gills, or a spongy surface? If the latter, probably a boletus.
Unfortunately I can’t tell you, because between the time those pics were taken and now, the mushrooms have disappeared (I suspect the gardener got rid of them).
It’s raining like mad as I type so maybe we will get some more. If we do, I’ll report/photograph.
From the images (and noting that pictures alone are seldom reliable enough to be certain of identity, or edibility), I would say they both look like boletes of some sort (but not the same sort)
Also, if at all possible, slice them in half, and see what color the interior flesh is. Then, stick around to see what color the flesh changes into after a short time. Many common boletes have some combination of different cap colors, yellow flesh, pore surface of another color, and change color on air exposure to green or blue. And these are more hints a guide book will help you with identification.
Collecting the spores, for general color and for microscopic examination, with and without chemical staining, is also crucial for species identification.
Listen, I have a Audubon field guide to mushrooms of North America, and when I see one pop up on my lawn, or find one in the woods, I can use it to identify the general type. But edibility (and I know, you didn’t ask explicitly, so maybe you’re not interested either) is a difficult thing to pin down from a guidebook only. The more so for mushrooms of different geographical areas.
King Bolete … but have a local expert confirm this ID … that’s worth repeating …have a local expert confirm this ID … you have a perfectly good liver right now, let’s keep it that way …
Handbook guides are quite good if the thing you happen to have found is common or highly prized, but for proper ID, you’d need a comprehensive guide - differentiation between some species can be fairly subtle, so you have to check that all of the descriptive attributes fit - size, texture, shape and configuration of all parts, colour, season, smell, reaction to cutting/bruising, reaction to wetting, habitat, etc.
When you said “extremely large” and mentioned a tropical location, I was imagining something more like this.
What you have is slightly biggish. 
If they are like the boletes you find in the western US, the question of edibility is moot anyway. I don’t think I’ve ever come across one that the worms haven’t gotten to first (actually, they’re insect larva IIRC). Of course, I’m not a mushroom hunter - I just notice them on hiking trails quite often.
I’ve found King Boletes at altitude that were worm-free, not very often though … but you are completely correct that the ones down in the valleys are riddled with filthy worms and inedible … I’m not sure if there’s a snowline any place in Indonesia, so the ones she’s pictured are mostly likely rancid flop … but still a place to watch and maybe if she quick about it she can get a few buttons from that patch …
… assuming a local expert has provided a proper ID …