57032972156160 has 6912 divisors, whose sum is σ = 299507271598080. Its totient is φ = 9997074432000.

The previous prime is 57032972156159. The next prime is 57032972156231. The reversal of 57032972156160 is 6165127923075.

It is a happy number.

57032972156160 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 2 + 9 + 7 + 2 + 15 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a junction number, because it is equal to n+sod(n) for n = 57032972156097 and 57032972156106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 183385762405 + ... + 183385762715.

It is an arithmetic number, because the mean of its divisors is an integer number (43331491840).

Almost surely, 2^{57032972156160} 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 57032972156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149753635799040).

57032972156160 is an abundant number, since it is smaller than the sum of its proper divisors (242474299441920).

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

57032972156160 is a wasteful number, since it uses less digits than its factorization.

57032972156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 57032972156160 in words is "fifty-seven trillion, thirty-two billion, nine hundred seventy-two million, one hundred fifty-six thousand, one hundred sixty".