85506135904 has 48 divisors (see below), whose sum is σ = 192417942528. Its totient is φ = 36639937152.

The previous prime is 85506135881. The next prime is 85506135937. The reversal of 85506135904 is 40953160558.

It is a super-2 number, since 2×85506135904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677969 + ... + 1728175.

It is an arithmetic number, because the mean of its divisors is an integer number (4008707136).

Almost surely, 2^85506135904 is an apocalyptic number.

It is an amenable number.

85506135904 is an abundant number, since it is smaller than the sum of its proper divisors (106911806624).

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

85506135904 is a wasteful number, since it uses less digits than its factorization.

85506135904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57827 (or 57819 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 85506135904 in words is "eighty-five billion, five hundred six million, one hundred thirty-five thousand, nine hundred four".