57933478408960 has 432 divisors, whose sum is σ = 179944484622336. Its totient is φ = 17474688000000.

The previous prime is 57933478408937. The next prime is 57933478408979. The reversal of 57933478408960 is 6980487433975.

It is a super-2 number, since 2×57933478408960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32747085 + ... + 34470835.

It is an arithmetic number, because the mean of its divisors is an integer number (416538158848).

Almost surely, 2^{57933478408960} 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 57933478408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89972242311168).

57933478408960 is an abundant number, since it is smaller than the sum of its proper divisors (122011006213376).

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

57933478408960 is a wasteful number, since it uses less digits than its factorization.

57933478408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723832 (or 1723807 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 73.

The spelling of 57933478408960 in words is "fifty-seven trillion, nine hundred thirty-three billion, four hundred seventy-eight million, four hundred eight thousand, nine hundred sixty".