The phrase "big stack" is often used to describe someone who has a lot of money, power, or resources. It suggests that the person is wealthy, influential, or has a strong advantage in a certain situation. Full definition
Overall it was a very strong press conference, though the elephant never truly left the room, he was hidden well behind big stacks of games. (jamiex66.com)
The stash big stacks of the books in bookstores and that drives sales. (madgeniusclub.com)
I always have big stacks of pillows in the corner of my bedroom, just waiting for a new whim when I feel like switching pillows. (theinspiredroom.net)