57385565838720 has 1024 divisors, whose sum is σ = 252387311616000. Its totient is φ = 12025483223040.

The previous prime is 57385565838707. The next prime is 57385565838737. The reversal of 57385565838720 is 2783856558375.

57385565838720 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 5 + 565 + 8 + 38 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70842709 + ... + 71648171.

It is an arithmetic number, because the mean of its divisors is an integer number (246471984000).

Almost surely, 2^{57385565838720} 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 57385565838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126193655808000).

57385565838720 is an abundant number, since it is smaller than the sum of its proper divisors (195001745777280).

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

57385565838720 is a wasteful number, since it uses less digits than its factorization.

57385565838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805548 (or 805530 counting only the distinct ones).

The product of its (nonzero) digits is 1693440000, while the sum is 72.

The spelling of 57385565838720 in words is "fifty-seven trillion, three hundred eighty-five billion, five hundred sixty-five million, eight hundred thirty-eight thousand, seven hundred twenty".