I would be astounded if it lasted that long in the scenario presented in “Life After People”
Best case scenario is that within 100 years there would be more than enough vegetation to carry a fire. Then the building would be gone. If the fire itself didn’t topple it, it would crack the concrete casing and expose the internal framework to oxygen and water. I’d allow 100 years after that before it fell.
More pertinent to the OP, without people there is no maintenance. Of particular importance is that there is nobody operating the surrounding stormwater system or the basement pumps of the building. I find it implausible that a building with basement/foundations 20 or 30 metres below ground level, and probably below actual sea level, could stand for several hundred years without any maintenance.
Water and reinforced concrete aren’t a good mix.