59372144896 has 81 divisors (see below), whose sum is σ = 120514316139. Its totient is φ = 29192896512.

The previous prime is 59372144863. The next prime is 59372144899. The reversal of 59372144896 is 69844127395.

The square root of 59372144896 is 243664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4053104896 + 55319040000 = 63664^2 + 235200^2 .

It is a Duffinian number.

Its product of digits (13063680) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 59372144896.

It is not an unprimeable number, because it can be changed into a prime (59372144899) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 378166450 + ... + 378166606.

Almost surely, 2^59372144896 is an apocalyptic number.

59372144896 is the 243664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59372144896

59372144896 is an abundant number, since it is smaller than the sum of its proper divisors (61142171243).

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

59372144896 is an frugal number, since it uses more digits than its factorization.

59372144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 256 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 59372144896 in words is "fifty-nine billion, three hundred seventy-two million, one hundred forty-four thousand, eight hundred ninety-six".