58380224400 has 135 divisors (see below), whose sum is σ = 202645917201. Its totient is φ = 15564193920.

The previous prime is 58380224393. The next prime is 58380224437. The reversal of 58380224400 is 442208385.

The square root of 58380224400 is 241620.

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

58380224400 is a `hidden beast` number, since 58 + 380 + 224 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21016880784 + 37363343616 = 144972^2 + 193296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14495187 + ... + 14499213.

Almost surely, 2^58380224400 is an apocalyptic number.

58380224400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58380224400 is the 241620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58380224400

58380224400 is an abundant number, since it is smaller than the sum of its proper divisors (144265692801).

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

58380224400 is an equidigital number, since it uses as much as digits as its factorization.

58380224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 58380224400 by its sum of digits (36), we get a square (2101688078400 = 1449720²).

58380224400 divided by its sum of digits (36) gives a square (1621672900 = 40270²).

The spelling of 58380224400 in words is "fifty-eight billion, three hundred eighty million, two hundred twenty-four thousand, four hundred".