87907368960 has 588 divisors, whose sum is σ = 330074790192. Its totient is φ = 22422749184.

The previous prime is 87907368953. The next prime is 87907368971. The reversal of 87907368960 is 6986370978.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059509 + ... + 3822059531.

It is an arithmetic number, because the mean of its divisors is an integer number (561351684).

Almost surely, 2^87907368960 is an apocalyptic number.

87907368960 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 87907368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165037395096).

87907368960 is an abundant number, since it is smaller than the sum of its proper divisors (242167421232).

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

87907368960 is an frugal number, since it uses more digits than its factorization.

87907368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 87907368960 in words is "eighty-seven billion, nine hundred seven million, three hundred sixty-eight thousand, nine hundred sixty".