87656317056 has 384 divisors, whose sum is σ = 315337651200. Its totient is φ = 22705920000.

The previous prime is 87656317039. The next prime is 87656317069. The reversal of 87656317056 is 65071365678.

87656317056 is a `hidden beast` number, since 8 + 7 + 6 + 563 + 1 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 87656316993 and 87656317011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38939931 + ... + 38942181.

It is an arithmetic number, because the mean of its divisors is an integer number (821191800).

Almost surely, 2^87656317056 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 87656317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157668825600).

87656317056 is an abundant number, since it is smaller than the sum of its proper divisors (227681334144).

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

87656317056 is a wasteful number, since it uses less digits than its factorization.

87656317056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 87656317056 in words is "eighty-seven billion, six hundred fifty-six million, three hundred seventeen thousand, fifty-six".