57201046265664 has 504 divisors, whose sum is σ = 202346317712448. Its totient is φ = 15351149076480.

The previous prime is 57201046265653. The next prime is 57201046265723. The reversal of 57201046265664 is 46656264010275.

57201046265664 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 1 + 0 + 4 + 626 + 5 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 57201046265664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241224919 + ... + 241461929.

It is an arithmetic number, because the mean of its divisors is an integer number (401480789112).

Almost surely, 2^{57201046265664} 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 57201046265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101173158856224).

57201046265664 is an abundant number, since it is smaller than the sum of its proper divisors (145145271446784).

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

57201046265664 is a wasteful number, since it uses less digits than its factorization.

57201046265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237563 (or 237543 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 57201046265664 in words is "fifty-seven trillion, two hundred one billion, forty-six million, two hundred sixty-five thousand, six hundred sixty-four".