87987968000 has 384 divisors, whose sum is σ = 229883209920. Its totient is φ = 33587200000.

The previous prime is 87987967979. The next prime is 87987968039. The reversal of 87987968000 is 86978978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871167950 + ... + 871168050.

Almost surely, 2^87987968000 is an apocalyptic number.

87987968000 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 87987968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114941604960).

87987968000 is an abundant number, since it is smaller than the sum of its proper divisors (141895241920).

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

87987968000 is a wasteful number, since it uses less digits than its factorization.

87987968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 62.

The spelling of 87987968000 in words is "eighty-seven billion, nine hundred eighty-seven million, nine hundred sixty-eight thousand".