57122000917632 has 1920 divisors, whose sum is σ = 212574500582400. Its totient is φ = 15243825300480.

The previous prime is 57122000917627. The next prime is 57122000917633. The reversal of 57122000917632 is 23671900022175.

It is a happy number.

57122000917632 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 2 + 0 + 0 + 0 + 9 + 1 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (57122000917633) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 804535224157 + ... + 804535224227.

It is an arithmetic number, because the mean of its divisors is an integer number (110715885720).

Almost surely, 2^{57122000917632} 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 57122000917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106287250291200).

57122000917632 is an abundant number, since it is smaller than the sum of its proper divisors (155452499664768).

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

57122000917632 is an frugal number, since it uses more digits than its factorization.

57122000917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 57122000917632 in words is "fifty-seven trillion, one hundred twenty-two billion, nine hundred seventeen thousand, six hundred thirty-two".