87372311055120 has 1600 divisors, whose sum is σ = 379469197416960. Its totient is φ = 18367527112704.

The previous prime is 87372311055119. The next prime is 87372311055167. The reversal of 87372311055120 is 2155011327378.

87372311055120 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 23 + 1 + 105 + 512 + 0 = 666.

It is a super-2 number, since 2×87372311055120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19754081229 + ... + 19754085651.

Almost surely, 2^{87372311055120} is an apocalyptic number.

87372311055120 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 87372311055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189734598708480).

87372311055120 is an abundant number, since it is smaller than the sum of its proper divisors (292096886361840).

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

87372311055120 is a wasteful number, since it uses less digits than its factorization.

87372311055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 87372311055120 in words is "eighty-seven trillion, three hundred seventy-two billion, three hundred eleven million, fifty-five thousand, one hundred twenty".