58258972224 has 224 divisors, whose sum is σ = 182465472000. Its totient is φ = 18175062528.

The previous prime is 58258972201. The next prime is 58258972241. The reversal of 58258972224 is 42227985285.

58258972224 is a `hidden beast` number, since 58 + 2 + 589 + 7 + 2 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2714367 + ... + 2735745.

It is an arithmetic number, because the mean of its divisors is an integer number (814578000).

Almost surely, 2^58258972224 is an apocalyptic number.

58258972224 is a gapful number since it is divisible by the number (54) 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 58258972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91232736000).

58258972224 is an abundant number, since it is smaller than the sum of its proper divisors (124206499776).

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

58258972224 is a wasteful number, since it uses less digits than its factorization.

58258972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21502 (or 21486 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 58258972224 in words is "fifty-eight billion, two hundred fifty-eight million, nine hundred seventy-two thousand, two hundred twenty-four".