58625968384 has 81 divisors (see below), whose sum is σ = 120565972107. Its totient is φ = 28451008512.

The previous prime is 58625968367. The next prime is 58625968397. The reversal of 58625968384 is 48386952685.

The square root of 58625968384 is 242128.

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 38384646400 + 20241321984 = 195920^2 + 142272^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 143339572 + ... + 143339980.

Almost surely, 2^58625968384 is an apocalyptic number.

58625968384 is the 242128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58625968384

58625968384 is an abundant number, since it is smaller than the sum of its proper divisors (61940003723).

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

58625968384 is an frugal number, since it uses more digits than its factorization.

58625968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 448 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 64.

Multiplying 58625968384 by its sum of digits (64), we get a square (3752061976576 = 1937024²).

58625968384 divided by its sum of digits (64) gives a square (916030756 = 30266²).

The spelling of 58625968384 in words is "fifty-eight billion, six hundred twenty-five million, nine hundred sixty-eight thousand, three hundred eighty-four".