57971496960 has 576 divisors, whose sum is σ = 223683314400. Its totient is φ = 14157545472.

The previous prime is 57971496911. The next prime is 57971496977. The reversal of 57971496960 is 6969417975.

57971496960 is a `hidden beast` number, since 5 + 79 + 71 + 496 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456468417 + ... + 456468543.

Almost surely, 2^57971496960 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 57971496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111841657200).

57971496960 is an abundant number, since it is smaller than the sum of its proper divisors (165711817440).

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

57971496960 is a wasteful number, since it uses less digits than its factorization.

57971496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

It can be divided in two parts, 57971 and 496960, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 57971496960 in words is "fifty-seven billion, nine hundred seventy-one million, four hundred ninety-six thousand, nine hundred sixty".