59116057056 has 432 divisors, whose sum is σ = 210275170560. Its totient is φ = 15657546240.

The previous prime is 59116057019. The next prime is 59116057061. The reversal of 59116057056 is 65075061195.

59116057056 is a `hidden beast` number, since 5 + 9 + 11 + 60 + 570 + 5 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 12599671 + ... + 12604361.

It is an arithmetic number, because the mean of its divisors is an integer number (486748080).

Almost surely, 2^59116057056 is an apocalyptic number.

59116057056 is a gapful number since it is divisible by the number (56) 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 59116057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105137585280).

59116057056 is an abundant number, since it is smaller than the sum of its proper divisors (151159113504).

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

59116057056 is a wasteful number, since it uses less digits than its factorization.

59116057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 59116057056 in words is "fifty-nine billion, one hundred sixteen million, fifty-seven thousand, fifty-six".