57935585664 has 384 divisors, whose sum is σ = 195144768000. Its totient is φ = 16947947520.

The previous prime is 57935585657. The next prime is 57935585677. The reversal of 57935585664 is 46658553975.

It is a happy number.

57935585664 is a `hidden beast` number, since 5 + 79 + 3 + 558 + 5 + 6 + 6 + 4 = 666.

57935585664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9919257 + ... + 9925095.

It is an arithmetic number, because the mean of its divisors is an integer number (508189500).

Almost surely, 2^57935585664 is an apocalyptic number.

57935585664 is a gapful number since it is divisible by the number (54) 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 57935585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97572384000).

57935585664 is an abundant number, since it is smaller than the sum of its proper divisors (137209182336).

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

57935585664 is a wasteful number, since it uses less digits than its factorization.

57935585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5884 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 57935585664 in words is "fifty-seven billion, nine hundred thirty-five million, five hundred eighty-five thousand, six hundred sixty-four".