59916125088000 has 1008 divisors, whose sum is σ = 224284106172672. Its totient is φ = 15942044160000.

The previous prime is 59916125087989. The next prime is 59916125088133. The reversal of 59916125088000 is 88052161995.

59916125088000 is a `hidden beast` number, since 59 + 9 + 1 + 6 + 1 + 2 + 508 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11454045385 + ... + 11454050615.

It is an arithmetic number, because the mean of its divisors is an integer number (222504073584).

Almost surely, 2^{59916125088000} is an apocalyptic number.

59916125088000 is a gapful number since it is divisible by the number (50) 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 59916125088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112142053086336).

59916125088000 is an abundant number, since it is smaller than the sum of its proper divisors (164367981084672).

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

59916125088000 is an frugal number, since it uses more digits than its factorization.

59916125088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 59916125088000 in words is "fifty-nine trillion, nine hundred sixteen billion, one hundred twenty-five million, eighty-eight thousand".