57565740960 has 1440 divisors, whose sum is σ = 268632080640. Its totient is φ = 11475136512.

The previous prime is 57565740937. The next prime is 57565740971. The reversal of 57565740960 is 6904756575.

57565740960 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 574 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57565740897 and 57565740906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156854697 + ... + 156855063.

It is an arithmetic number, because the mean of its divisors is an integer number (186550056).

Almost surely, 2^57565740960 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 57565740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134316040320).

57565740960 is an abundant number, since it is smaller than the sum of its proper divisors (211066339680).

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

57565740960 is a wasteful number, since it uses less digits than its factorization.

57565740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 57565740960 in words is "fifty-seven billion, five hundred sixty-five million, seven hundred forty thousand, nine hundred sixty".