57198384960 has 448 divisors, whose sum is σ = 199846289664. Its totient is φ = 13801881600.

The previous prime is 57198384959. The next prime is 57198384967. The reversal of 57198384960 is 6948389175.

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

It is a junction number, because it is equal to n+sod(n) for n = 57198384894 and 57198384903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57198384967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48845175 + ... + 48846345.

It is an arithmetic number, because the mean of its divisors is an integer number (446085468).

Almost surely, 2^57198384960 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 57198384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99923144832).

57198384960 is an abundant number, since it is smaller than the sum of its proper divisors (142647904704).

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

57198384960 is a wasteful number, since it uses less digits than its factorization.

57198384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 57198384960 in words is "fifty-seven billion, one hundred ninety-eight million, three hundred eighty-four thousand, nine hundred sixty".