87555663936 has 448 divisors, whose sum is σ = 291125452800. Its totient is φ = 25617254400.

The previous prime is 87555663917. The next prime is 87555663947. The reversal of 87555663936 is 63936655578.

87555663936 is a `hidden beast` number, since 8 + 7 + 5 + 5 + 566 + 39 + 36 = 666.

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, 41085591 + ... + 41087721.

It is an arithmetic number, because the mean of its divisors is an integer number (649833600).

Almost surely, 2^87555663936 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 87555663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145562726400).

87555663936 is an abundant number, since it is smaller than the sum of its proper divisors (203569788864).

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

87555663936 is a wasteful number, since it uses less digits than its factorization.

87555663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 87555663936 in words is "eighty-seven billion, five hundred fifty-five million, six hundred sixty-three thousand, nine hundred thirty-six".