Cleaves the beta-phosphate at the 5-position of soluble inositol pyrophosphates. Has highest activity on 5-diphosphoinositol 1,2,3,4,6-pentakisphosphate (5-InsP(7)), 1,5-bis-diphosphoinositol 2,3,4,6-tetrakisphosphate (1,5-InsP(8)) and 3,5-InsP(8). Possesses phosphotyrosine phosphatase activity in vitro. Dephosphorylates the phosphoinositides PI(3,5)P2. Hydrolyzes para-nitrophenyl phosphate and O-methylfluorescein phosphate in vitro