57802264832 has 72 divisors (see below), whose sum is σ = 126291422040. Its totient is φ = 26240532480.

The previous prime is 57802264823. The next prime is 57802264837. The reversal of 57802264832 is 23846220875.

It can be written as a sum of positive squares in 4 ways, for example, as 6986285056 + 50815979776 = 83584^2 + 225424^2 .

It is a super-2 number, since 2×57802264832² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57802264837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60644 + ... + 345372.

Almost surely, 2^57802264832 is an apocalyptic number.

57802264832 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 57802264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63145711020).

57802264832 is an abundant number, since it is smaller than the sum of its proper divisors (68489157208).

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

57802264832 is a wasteful number, since it uses less digits than its factorization.

57802264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284819 (or 284805 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 57802264832 in words is "fifty-seven billion, eight hundred two million, two hundred sixty-four thousand, eight hundred thirty-two".