57749871965632 has 448 divisors, whose sum is σ = 154117365120000. Its totient is φ = 20780396052480.

The previous prime is 57749871965603. The next prime is 57749871965647. The reversal of 57749871965632 is 23656917894775.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2851976244 + ... + 2851996492.

Almost surely, 2^{57749871965632} 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 57749871965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77058682560000).

57749871965632 is an abundant number, since it is smaller than the sum of its proper divisors (96367493154368).

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

57749871965632 is a wasteful number, since it uses less digits than its factorization.

57749871965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20932 (or 20922 counting only the distinct ones).

The product of its digits is 4800902400, while the sum is 79.

The spelling of 57749871965632 in words is "fifty-seven trillion, seven hundred forty-nine billion, eight hundred seventy-one million, nine hundred sixty-five thousand, six hundred thirty-two".