87909016832000 has 1728 divisors, whose sum is σ = 285058882901520. Its totient is φ = 26820476928000.

The previous prime is 87909016831931. The next prime is 87909016832003. The reversal of 87909016832000 is 23861090978.

It can be written as a sum of positive squares in 24 ways, for example, as 23425290241024 + 64483726590976 = 4839968^2 + 8030176^2 .

It is not an unprimeable number, because it can be changed into a prime (87909016832003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137143551680 + ... + 137143552320.

Almost surely, 2^{87909016832000} is an apocalyptic number.

87909016832000 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 87909016832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142529441450760).

87909016832000 is an abundant number, since it is smaller than the sum of its proper divisors (197149866069520).

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

87909016832000 is a wasteful number, since it uses less digits than its factorization.

87909016832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 87909016832000 in words is "eighty-seven trillion, nine hundred nine billion, sixteen million, eight hundred thirty-two thousand".