57358431504 has 960 divisors, whose sum is σ = 207720038400. Its totient is φ = 15242515200.

The previous prime is 57358431503. The next prime is 57358431509. The reversal of 57358431504 is 40513485375.

It is a happy number.

57358431504 is a `hidden beast` number, since 5 + 7 + 35 + 84 + 31 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57358431504.

It is not an unprimeable number, because it can be changed into a prime (57358431503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1850271969 + ... + 1850271999.

It is an arithmetic number, because the mean of its divisors is an integer number (216375040).

Almost surely, 2^57358431504 is an apocalyptic number.

57358431504 is a gapful number since it is divisible by the number (54) 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 57358431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103860019200).

57358431504 is an abundant number, since it is smaller than the sum of its proper divisors (150361606896).

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

57358431504 is a wasteful number, since it uses less digits than its factorization.

57358431504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57358431504 in words is "fifty-seven billion, three hundred fifty-eight million, four hundred thirty-one thousand, five hundred four".