57407982774912 has 2048 divisors, whose sum is σ = 223138685952000. Its totient is φ = 14096233267200.

The previous prime is 57407982774823. The next prime is 57407982774943. The reversal of 57407982774912 is 21947728970475.

57407982774912 is a `hidden beast` number, since 5 + 7 + 40 + 7 + 98 + 2 + 7 + 7 + 491 + 2 = 666.

It is a super-4 number, since 4×57407982774912⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101967997543 + ... + 101967998105.

It is an arithmetic number, because the mean of its divisors is an integer number (108954436500).

Almost surely, 2^{57407982774912} 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 57407982774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111569342976000).

57407982774912 is an abundant number, since it is smaller than the sum of its proper divisors (165730703177088).

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

57407982774912 is a wasteful number, since it uses less digits than its factorization.

57407982774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 57407982774912 in words is "fifty-seven trillion, four hundred seven billion, nine hundred eighty-two million, seven hundred seventy-four thousand, nine hundred twelve".