57701665632 has 192 divisors, whose sum is σ = 169620454080. Its totient is φ = 17053016064.

The previous prime is 57701665613. The next prime is 57701665657. The reversal of 57701665632 is 23656610775.

57701665632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125778 + ... + 7133870.

It is an arithmetic number, because the mean of its divisors is an integer number (883439865).

Almost surely, 2^57701665632 is an apocalyptic number.

57701665632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57701665632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84810227040).

57701665632 is an abundant number, since it is smaller than the sum of its proper divisors (111918788448).

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

57701665632 is a wasteful number, since it uses less digits than its factorization.

57701665632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 57701665632 in words is "fifty-seven billion, seven hundred one million, six hundred sixty-five thousand, six hundred thirty-two".