57368813760 has 560 divisors, whose sum is σ = 214845412320. Its totient is φ = 14511882240.

The previous prime is 57368813759. The next prime is 57368813771. The reversal of 57368813760 is 6731886375.

57368813760 is a `hidden beast` number, since 573 + 6 + 8 + 8 + 1 + 3 + 7 + 60 = 666.

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 = 57368813697 and 57368813706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39319911 + ... + 39321369.

It is an arithmetic number, because the mean of its divisors is an integer number (383652522).

Almost surely, 2^57368813760 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 57368813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107422706160).

57368813760 is an abundant number, since it is smaller than the sum of its proper divisors (157476598560).

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

57368813760 is a wasteful number, since it uses less digits than its factorization.

57368813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57368813760 in words is "fifty-seven billion, three hundred sixty-eight million, eight hundred thirteen thousand, seven hundred sixty".