57107376144 has 960 divisors, whose sum is σ = 219541504000. Its totient is φ = 13716864000.

The previous prime is 57107376119. The next prime is 57107376167. The reversal of 57107376144 is 44167370175.

57107376144 is a `hidden beast` number, since 571 + 0 + 7 + 3 + 76 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×57107376144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57107376144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378194469 + ... + 378194619.

Almost surely, 2^57107376144 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 57107376144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109770752000).

57107376144 is an abundant number, since it is smaller than the sum of its proper divisors (162434127856).

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

57107376144 is a wasteful number, since it uses less digits than its factorization.

57107376144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

It can be divided in two parts, 5710737 and 6144, that added together give a square (5716881 = 2391²).

The spelling of 57107376144 in words is "fifty-seven billion, one hundred seven million, three hundred seventy-six thousand, one hundred forty-four".