57516112122100 has 72 divisors (see below), whose sum is σ = 131387803142400. Its totient is φ = 21794103763200.

The previous prime is 57516112122097. The next prime is 57516112122101. The reversal of 57516112122100 is 122121161575.

57516112122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57516112122101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27252840 + ... + 29287360.

It is an arithmetic number, because the mean of its divisors is an integer number (1824830599200).

Almost surely, 2^{57516112122100} is an apocalyptic number.

57516112122100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57516112122100 is an abundant number, since it is smaller than the sum of its proper divisors (73871691020300).

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

57516112122100 is a wasteful number, since it uses less digits than its factorization.

57516112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049433 (or 2049426 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

Adding to 57516112122100 its reverse (122121161575), we get a palindrome (57638233283675).

The spelling of 57516112122100 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".