87576027120 has 200 divisors, whose sum is σ = 306034247376. Its totient is φ = 23210053632.

The previous prime is 87576027107. The next prime is 87576027139. The reversal of 87576027120 is 2172067578.

87576027120 is a `hidden beast` number, since 8 + 7 + 576 + 0 + 2 + 71 + 2 + 0 = 666.

It is a super-2 number, since 2×87576027120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1014784 + ... + 1097696.

Almost surely, 2^87576027120 is an apocalyptic number.

87576027120 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 87576027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153017123688).

87576027120 is an abundant number, since it is smaller than the sum of its proper divisors (218458220256).

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

87576027120 is a wasteful number, since it uses less digits than its factorization.

87576027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83101 (or 83086 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 87576027120 in words is "eighty-seven billion, five hundred seventy-six million, twenty-seven thousand, one hundred twenty".