57914166240 has 576 divisors, whose sum is σ = 241580646720. Its totient is φ = 12912721920.

The previous prime is 57914166229. The next prime is 57914166259. The reversal of 57914166240 is 4266141975.

57914166240 is a `hidden beast` number, since 5 + 7 + 9 + 1 + 4 + 16 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8675544 + ... + 8682216.

It is an arithmetic number, because the mean of its divisors is an integer number (419410845).

Almost surely, 2^57914166240 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 57914166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120790323360).

57914166240 is an abundant number, since it is smaller than the sum of its proper divisors (183666480480).

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

57914166240 is a wasteful number, since it uses less digits than its factorization.

57914166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57914166240 in words is "fifty-seven billion, nine hundred fourteen million, one hundred sixty-six thousand, two hundred forty".