85624880976 has 400 divisors, whose sum is σ = 267060157056. Its totient is φ = 26422336512.

The previous prime is 85624880963. The next prime is 85624880983. The reversal of 85624880976 is 67908842658.

85624880976 is a `hidden beast` number, since 8 + 5 + 62 + 488 + 0 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131125066 + ... + 131125718.

Almost surely, 2^85624880976 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 85624880976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133530078528).

85624880976 is an abundant number, since it is smaller than the sum of its proper divisors (181435276080).

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

85624880976 is a wasteful number, since it uses less digits than its factorization.

85624880976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 85624880976 in words is "eighty-five billion, six hundred twenty-four million, eight hundred eighty thousand, nine hundred seventy-six".