57302568224 has 72 divisors (see below), whose sum is σ = 125701925580. Its totient is φ = 25689692160.

The previous prime is 57302568223. The next prime is 57302568263. The reversal of 57302568224 is 42286520375.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51407399824 + 5895168400 = 226732^2 + 76780^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (57302568221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181292 + ... + 384020.

Almost surely, 2^57302568224 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 57302568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62850962790).

57302568224 is an abundant number, since it is smaller than the sum of its proper divisors (68399357356).

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

57302568224 is a wasteful number, since it uses less digits than its factorization.

57302568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202834 (or 202815 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

It can be divided in two parts, 57302 and 568224, that added together give a palindrome (625526).

The spelling of 57302568224 in words is "fifty-seven billion, three hundred two million, five hundred sixty-eight thousand, two hundred twenty-four".