57407118912 has 672 divisors, whose sum is σ = 201302599680. Its totient is φ = 15409152000.

The previous prime is 57407118887. The next prime is 57407118949. The reversal of 57407118912 is 21981170475.

It is a happy number.

57407118912 is a `hidden beast` number, since 57 + 407 + 1 + 189 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300560737 + ... + 300560927.

It is an arithmetic number, because the mean of its divisors is an integer number (299557440).

Almost surely, 2^57407118912 is an apocalyptic number.

57407118912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57407118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651299840).

57407118912 is an abundant number, since it is smaller than the sum of its proper divisors (143895480768).

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

57407118912 is a wasteful number, since it uses less digits than its factorization.

57407118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 57407118912 in words is "fifty-seven billion, four hundred seven million, one hundred eighteen thousand, nine hundred twelve".