Pauly Shore -- Family Mansion for Sale ... 'I Banged a Lot of Babes In That Place'

The Hollywood mansion where Pauly Shore grew up ... nailed chicks ... filmed his reality show ... and nailed more chicks ... is officially up for sale, buuuuddy.

TMZ has learned ... Pauly's mom Mitzi -- who owns the legendary Comedy Store -- decided she's finally ready to move out of the Shore house after 4 glorious decades. Asking price: $5.8 million.

"It's been a great run. 40 years," Pauly tells TMZ ... "It was my childhood home."

The Weasel says he made tons of memories in the place -- "Parties with comics, sex with babes ... and my mom put my Slip 'n Slide on the driveway."

The 5,448 square foot mansion is right off the Sunset Strip ... right near tons of huge stars like Halle Berry, Scooter Braun and Leo DiCaprio.