57210945792 has 288 divisors, whose sum is σ = 204441861120. Its totient is φ = 13716725760.

The previous prime is 57210945769. The next prime is 57210945793. The reversal of 57210945792 is 29754901275.

It is not an unprimeable number, because it can be changed into a prime (57210945793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731559 + ... + 805977.

Almost surely, 2^57210945792 is an apocalyptic number.

57210945792 is a gapful number since it is divisible by the number (52) 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 57210945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102220930560).

57210945792 is an abundant number, since it is smaller than the sum of its proper divisors (147230915328).

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

57210945792 is a wasteful number, since it uses less digits than its factorization.

57210945792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74469 (or 74455 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 57210945792 in words is "fifty-seven billion, two hundred ten million, nine hundred forty-five thousand, seven hundred ninety-two".