57516112122016 has 96 divisors (see below), whose sum is σ = 120439369774080. Its totient is φ = 26989204838400.

The previous prime is 57516112122011. The next prime is 57516112122031. The reversal of 57516112122016 is 61022121161575.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57516112122016.

It is not an unprimeable number, because it can be changed into a prime (57516112122011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7521945 + ... + 13100071.

It is an arithmetic number, because the mean of its divisors is an integer number (1254576768480).

Almost surely, 2^{57516112122016} 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 57516112122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60219684887040).

57516112122016 is an abundant number, since it is smaller than the sum of its proper divisors (62923257652064).

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

57516112122016 is a wasteful number, since it uses less digits than its factorization.

57516112122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578478 (or 5578470 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 57516112122016 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, sixteen".