While this is correct for the exact meaning of the title a similar word you may have heard is callipygian, which means having a shapely or perfectly proportioned buttocks.
Its been a long long time since I opened up a playboy magazine, but now and then they would show a page an artist’s rendition of frollicking fat bottomed girls who were referred to by the name of the original artist.
Memory is quite vague at this point but the word used sounded something like “brogdollian”.
Steatopygia is not what you’re looking for here. It’s a specialized adaptation of females of the Khoi-San peoples (“Hottentots” and “Bushmen”) which is not shared by either White (“Caucasoid”) or Black (“Negroid”/"Congoid’) people. In both the latter peoples, typically excess adipose tissue is deposited preferentially in pads, producing a large but ‘normal-shaped’ set of buttocks. The Khoi-San, in contrast (along with Pygmies and Andamanese, who probably share ancestry in part with the Khoi-San), exhibit the sort of growth depicted at the link. I recall a reference noting that one Khoi-San woman could carry a full glass of water by setting it atop her buttocks.
“Callipygia” does mean the condition of having attractive buttocks – and of course beauty is in the eye of the beholder.
This link goes to an Amazon page that includes a song called “Vikki Dougan” by the 60’s folk group The Limeliters. One of the lines in that song refers to her “…callipygian cleft.”
I don’t think callipygian is right. That is from the Greek for “beautiful buttocks”, which does not necessarily convey the message of “overly-sized buttocks”. YMMV.
As for steatopygia, I have been educated. (Um, er, ewww.) That definitely fits the definition of “fat-bottomed girl”, though perhaps not the most common experience most people have.
I suppose Brobdingnagian could be used that way, though only metaphorically. Brobdingnag was a land of giants, people “as tall as a church steeple”. I don’t recall anything in the descriptions suggestive of their shapes rather than just their general size disparity. Same way Lilliputians were tiny people. But someone might wish to describe a woman of ample size as “Brobdingnagian” as a metaphor.
Bathycolpian shows up as an obscure word. Searching “bathycolpian definition” doesn’t turn up standard dictionary entries, but rather as secondary references in more obscure definition discussions. So that could help explain why “bathyculpus” was ineffective.