Lady Gaga Drops $24 MILLION On Malibu Estate

Lady Gaga is a first-time California homeowner ... but she's not starting small. TMZ has learned she just bought a massive $24 million Malibu compound.

Real estate sources tell us ... the house sits on 6 acres. It has the usual for rich people ... lots of bedrooms and bathrooms, his and her walk-in closets, a pool, gym, wine cellar. But it also has a custom safe room and 2 lane bowling alley, bocce ball court and an 8-horse stable.

The seller was Dan Romanelli, the founder of the Warner Bros. Worldwide Consumer Products Division ... which makes us here at TMZ feel grossly underpaid -- they own us.