57248978688 has 576 divisors, whose sum is σ = 193272791040. Its totient is φ = 16558387200.

The previous prime is 57248978663. The next prime is 57248978693. The reversal of 57248978688 is 88687984275.

57248978688 is a `hidden beast` number, since 5 + 72 + 489 + 78 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 252198031 + ... + 252198257.

It is an arithmetic number, because the mean of its divisors is an integer number (335543040).

Almost surely, 2^57248978688 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 57248978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

57248978688 is an abundant number, since it is smaller than the sum of its proper divisors (136023812352).

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

57248978688 is a wasteful number, since it uses less digits than its factorization.

57248978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 57248978688 in words is "fifty-seven billion, two hundred forty-eight million, nine hundred seventy-eight thousand, six hundred eighty-eight".