59552112711168 has 480 divisors, whose sum is σ = 215178143431680. Its totient is φ = 15403339284480.

The previous prime is 59552112711139. The next prime is 59552112711181. The reversal of 59552112711168 is 86111721125595.

59552112711168 is a `hidden beast` number, since 5 + 9 + 552 + 1 + 1 + 2 + 71 + 1 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84449896 + ... + 85152152.

It is an arithmetic number, because the mean of its divisors is an integer number (448287798816).

Almost surely, 2^{59552112711168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59552112711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107589071715840).

59552112711168 is an abundant number, since it is smaller than the sum of its proper divisors (155626030720512).

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

59552112711168 is a wasteful number, since it uses less digits than its factorization.

59552112711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702538 (or 702519 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 54.

The spelling of 59552112711168 in words is "fifty-nine trillion, five hundred fifty-two billion, one hundred twelve million, seven hundred eleven thousand, one hundred sixty-eight".