57408519168 has 1056 divisors, whose sum is σ = 228897177600. Its totient is φ = 13655900160.

The previous prime is 57408519137. The next prime is 57408519173. The reversal of 57408519168 is 86191580475.

It is a happy number.

57408519168 is a `hidden beast` number, since 574 + 0 + 8 + 5 + 1 + 9 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452035521 + ... + 452035647.

Almost surely, 2^57408519168 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 57408519168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114448588800).

57408519168 is an abundant number, since it is smaller than the sum of its proper divisors (171488658432).

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

57408519168 is a wasteful number, since it uses less digits than its factorization.

57408519168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 57408519168 in words is "fifty-seven billion, four hundred eight million, five hundred nineteen thousand, one hundred sixty-eight".