57879006720 has 160 divisors (see below), whose sum is σ = 185966668800. Its totient is φ = 15356436480.

The previous prime is 57879006697. The next prime is 57879006721. The reversal of 57879006720 is 2760097875.

57879006720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57879006721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509385 + ... + 1547255.

It is an arithmetic number, because the mean of its divisors is an integer number (1162291680).

Almost surely, 2^57879006720 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 57879006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92983334400).

57879006720 is an abundant number, since it is smaller than the sum of its proper divisors (128087662080).

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

57879006720 is a wasteful number, since it uses less digits than its factorization.

57879006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38096 (or 38080 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 57879006720 in words is "fifty-seven billion, eight hundred seventy-nine million, six thousand, seven hundred twenty".