57112957440 has 1600 divisors, whose sum is σ = 263806329600. Its totient is φ = 11705057280.

The previous prime is 57112957417. The next prime is 57112957481. The reversal of 57112957440 is 4475921175.

57112957440 is a `hidden beast` number, since 5 + 7 + 11 + 29 + 574 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 782369244 + ... + 782369316.

It is an arithmetic number, because the mean of its divisors is an integer number (164878956).

Almost surely, 2^57112957440 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 57112957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131903164800).

57112957440 is an abundant number, since it is smaller than the sum of its proper divisors (206693372160).

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

57112957440 is an equidigital number, since it uses as much as digits as its factorization.

57112957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 57112957440 in words is "fifty-seven billion, one hundred twelve million, nine hundred fifty-seven thousand, four hundred forty".