87331586160 has 320 divisors, whose sum is σ = 340956177408. Its totient is φ = 17997299712.

The previous prime is 87331586113. The next prime is 87331586191. The reversal of 87331586160 is 6168513378.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892624 + ... + 985616.

Almost surely, 2^87331586160 is an apocalyptic number.

87331586160 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 87331586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170478088704).

87331586160 is an abundant number, since it is smaller than the sum of its proper divisors (253624591248).

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

87331586160 is a wasteful number, since it uses less digits than its factorization.

87331586160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93072 (or 93066 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 87331586160 in words is "eighty-seven billion, three hundred thirty-one million, five hundred eighty-six thousand, one hundred sixty".