57798579552120 has 1536 divisors, whose sum is σ = 220851671040000. Its totient is φ = 13474036316160.

The previous prime is 57798579552037. The next prime is 57798579552127. The reversal of 57798579552120 is 2125597589775.

57798579552120 is a `hidden beast` number, since 5 + 7 + 7 + 9 + 8 + 5 + 7 + 95 + 521 + 2 + 0 = 666.

57798579552120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57798579552127) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95220064857 + ... + 95220065463.

It is an arithmetic number, because the mean of its divisors is an integer number (143783640000).

Almost surely, 2^{57798579552120} 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 57798579552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110425835520000).

57798579552120 is an abundant number, since it is smaller than the sum of its proper divisors (163053091487880).

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

57798579552120 is a wasteful number, since it uses less digits than its factorization.

57798579552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 555660000, while the sum is 72.

The spelling of 57798579552120 in words is "fifty-seven trillion, seven hundred ninety-eight billion, five hundred seventy-nine million, five hundred fifty-two thousand, one hundred twenty".