85091509152 has 192 divisors, whose sum is σ = 275897502720. Its totient is φ = 25337318400.

The previous prime is 85091509109. The next prime is 85091509157. The reversal of 85091509152 is 25190519058.

85091509152 is a `hidden beast` number, since 8 + 5 + 0 + 91 + 509 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85091509098 and 85091509107.

It is not an unprimeable number, because it can be changed into a prime (85091509157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226002 + ... + 470382.

It is an arithmetic number, because the mean of its divisors is an integer number (1436966160).

Almost surely, 2^85091509152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85091509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137948751360).

85091509152 is an abundant number, since it is smaller than the sum of its proper divisors (190805993568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85091509152 is a wasteful number, since it uses less digits than its factorization.

85091509152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244444 (or 244430 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 85091509152 in words is "eighty-five billion, ninety-one million, five hundred nine thousand, one hundred fifty-two".