85308926976 has 704 divisors, whose sum is σ = 318915394560. Its totient is φ = 21923758080.

The previous prime is 85308926947. The next prime is 85308926981. The reversal of 85308926976 is 67962980358.

85308926976 is a `hidden beast` number, since 8 + 530 + 8 + 9 + 2 + 6 + 97 + 6 = 666.

It is a super-2 number, since 2×85308926976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103154275 + ... + 103155101.

Almost surely, 2^85308926976 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 85308926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159457697280).

85308926976 is an abundant number, since it is smaller than the sum of its proper divisors (233606467584).

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

85308926976 is a wasteful number, since it uses less digits than its factorization.

85308926976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 85308926976 in words is "eighty-five billion, three hundred eight million, nine hundred twenty-six thousand, nine hundred seventy-six".