59130676224 has 297 divisors, whose sum is σ = 182598215527. Its totient is φ = 18426298368.

The previous prime is 59130676219. The next prime is 59130676271. The reversal of 59130676224 is 42267603195.

The square root of 59130676224 is 243168.

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

59130676224 is a `hidden beast` number, since 5 + 9 + 13 + 0 + 6 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1161446400 + 57969229824 = 34080^2 + 240768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 59130676224.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 396850102 + ... + 396850250.

Almost surely, 2^59130676224 is an apocalyptic number.

59130676224 is the 243168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59130676224

59130676224 is an abundant number, since it is smaller than the sum of its proper divisors (123467539303).

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

59130676224 is a wasteful number, since it uses less digits than its factorization.

59130676224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 59130676224 in words is "fifty-nine billion, one hundred thirty million, six hundred seventy-six thousand, two hundred twenty-four".