57824804352 has 240 divisors, whose sum is σ = 180276153552. Its totient is φ = 16422174720.

The previous prime is 57824804351. The next prime is 57824804381. The reversal of 57824804352 is 25340842875.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57824804351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13018452 + ... + 13022892.

Almost surely, 2^57824804352 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 57824804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90138076776).

57824804352 is an abundant number, since it is smaller than the sum of its proper divisors (122451349200).

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

57824804352 is a wasteful number, since it uses less digits than its factorization.

57824804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 57824804352 in words is "fifty-seven billion, eight hundred twenty-four million, eight hundred four thousand, three hundred fifty-two".