87687530496 has 576 divisors, whose sum is σ = 283329446400. Its totient is φ = 26011238400.

The previous prime is 87687530389. The next prime is 87687530501. The reversal of 87687530496 is 69403578678.

87687530496 is a `hidden beast` number, since 8 + 7 + 6 + 8 + 7 + 530 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 445114270 + ... + 445114466.

It is an arithmetic number, because the mean of its divisors is an integer number (491891400).

Almost surely, 2^87687530496 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 87687530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141664723200).

87687530496 is an abundant number, since it is smaller than the sum of its proper divisors (195641915904).

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

87687530496 is a wasteful number, since it uses less digits than its factorization.

87687530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 87687530496 in words is "eighty-seven billion, six hundred eighty-seven million, five hundred thirty thousand, four hundred ninety-six".