57488880960 has 1344 divisors, whose sum is σ = 253066125312. Its totient is φ = 11680284672.

The previous prime is 57488880929. The next prime is 57488880973. The reversal of 57488880960 is 6908888475.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 692637079 + ... + 692637161.

It is an arithmetic number, because the mean of its divisors is an integer number (188293248).

Almost surely, 2^57488880960 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 57488880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126533062656).

57488880960 is an abundant number, since it is smaller than the sum of its proper divisors (195577244352).

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

57488880960 is a wasteful number, since it uses less digits than its factorization.

57488880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 57488880960 in words is "fifty-seven billion, four hundred eighty-eight million, eight hundred eighty thousand, nine hundred sixty".