57259668480 has 704 divisors, whose sum is σ = 221854187520. Its totient is φ = 12327321600.

The previous prime is 57259668461. The next prime is 57259668503. The reversal of 57259668480 is 8486695275.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136657711 + ... + 136658129.

Almost surely, 2^57259668480 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 57259668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110927093760).

57259668480 is an abundant number, since it is smaller than the sum of its proper divisors (164594519040).

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

57259668480 is a wasteful number, since it uses less digits than its factorization.

57259668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 57259668480 in words is "fifty-seven billion, two hundred fifty-nine million, six hundred sixty-eight thousand, four hundred eighty".