85023415296 has 132 divisors (see below), whose sum is σ = 253423578304. Its totient is φ = 27426816000.

The previous prime is 85023415289. The next prime is 85023415349. The reversal of 85023415296 is 69251432058.

85023415296 is a `hidden beast` number, since 8 + 502 + 3 + 4 + 1 + 52 + 96 = 666.

It is a super-2 number, since 2×85023415296² (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 11 ways as a sum of consecutive naturals, for example, 136896 + ... + 434496.

Almost surely, 2^85023415296 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 85023415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126711789152).

85023415296 is an abundant number, since it is smaller than the sum of its proper divisors (168400163008).

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

85023415296 is a wasteful number, since it uses less digits than its factorization.

85023415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297658 (or 297637 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 85023415296 in words is "eighty-five billion, twenty-three million, four hundred fifteen thousand, two hundred ninety-six".