87996585600 has 960 divisors, whose sum is σ = 404945956800. Its totient is φ = 18280857600.

The previous prime is 87996585587. The next prime is 87996585601. The reversal of 87996585600 is 658569978.

87996585600 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 65 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (87996585601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19956196 + ... + 19960604.

It is an arithmetic number, because the mean of its divisors is an integer number (421818705).

Almost surely, 2^87996585600 is an apocalyptic number.

87996585600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87996585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202472978400).

87996585600 is an abundant number, since it is smaller than the sum of its proper divisors (316949371200).

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

87996585600 is a wasteful number, since it uses less digits than its factorization.

87996585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 87996585600 in words is "eighty-seven billion, nine hundred ninety-six million, five hundred eighty-five thousand, six hundred".