57956704416 has 384 divisors, whose sum is σ = 194914944000. Its totient is φ = 16604310528.

The previous prime is 57956704411. The next prime is 57956704427. The reversal of 57956704416 is 61440765975.

57956704416 is a `hidden beast` number, since 5 + 79 + 567 + 0 + 4 + 4 + 1 + 6 = 666.

57956704416 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 (54).

It is not an unprimeable number, because it can be changed into a prime (57956704411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12588771 + ... + 12593373.

It is an arithmetic number, because the mean of its divisors is an integer number (507591000).

Almost surely, 2^57956704416 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 57956704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97457472000).

57956704416 is an abundant number, since it is smaller than the sum of its proper divisors (136958239584).

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

57956704416 is a wasteful number, since it uses less digits than its factorization.

57956704416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 57956704416 in words is "fifty-seven billion, nine hundred fifty-six million, seven hundred four thousand, four hundred sixteen".