57279366144 has 792 divisors, whose sum is σ = 226286319168. Its totient is φ = 13717831680.

The previous prime is 57279366119. The next prime is 57279366181. The reversal of 57279366144 is 44166397275.

57279366144 is a `hidden beast` number, since 5 + 7 + 279 + 366 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64576069 + ... + 64576955.

Almost surely, 2^57279366144 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 57279366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113143159584).

57279366144 is an abundant number, since it is smaller than the sum of its proper divisors (169006953024).

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

57279366144 is a wasteful number, since it uses less digits than its factorization.

57279366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 923 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 57279366144 in words is "fifty-seven billion, two hundred seventy-nine million, three hundred sixty-six thousand, one hundred forty-four".