57940688424960 has 1248 divisors, whose sum is σ = 228690237275136. Its totient is φ = 13444055040000.

The previous prime is 57940688424959. The next prime is 57940688425003. The reversal of 57940688424960 is 6942488604975.

57940688424960 is a `hidden beast` number, since 5 + 7 + 9 + 406 + 88 + 42 + 49 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 4405794385 + ... + 4405807535.

It is an arithmetic number, because the mean of its divisors is an integer number (183245382432).

Almost surely, 2^{57940688424960} 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 57940688424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345118637568).

57940688424960 is an abundant number, since it is smaller than the sum of its proper divisors (170749548850176).

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

57940688424960 is a wasteful number, since it uses less digits than its factorization.

57940688424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 57940688424960 in words is "fifty-seven trillion, nine hundred forty billion, six hundred eighty-eight million, four hundred twenty-four thousand, nine hundred sixty".