57859799400 has 576 divisors, whose sum is σ = 221798304000. Its totient is φ = 13399603200.

The previous prime is 57859799351. The next prime is 57859799441. The reversal of 57859799400 is 499795875.

57859799400 is a `hidden beast` number, since 57 + 8 + 5 + 97 + 99 + 400 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80472241 + ... + 80472959.

It is an arithmetic number, because the mean of its divisors is an integer number (385066500).

Almost surely, 2^57859799400 is an apocalyptic number.

57859799400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57859799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152000).

57859799400 is an abundant number, since it is smaller than the sum of its proper divisors (163938504600).

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

57859799400 is a wasteful number, since it uses less digits than its factorization.

57859799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 57859799400 in words is "fifty-seven billion, eight hundred fifty-nine million, seven hundred ninety-nine thousand, four hundred".