58234816080 has 960 divisors, whose sum is σ = 248178401280. Its totient is φ = 12287572992.

The previous prime is 58234816069. The next prime is 58234816141. The reversal of 58234816080 is 8061843285.

58234816080 is a `hidden beast` number, since 5 + 8 + 2 + 34 + 8 + 1 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256540927 + ... + 256541153.

It is an arithmetic number, because the mean of its divisors is an integer number (258519168).

Almost surely, 2^58234816080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58234816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124089200640).

58234816080 is an abundant number, since it is smaller than the sum of its proper divisors (189943585200).

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

58234816080 is a wasteful number, since it uses less digits than its factorization.

58234816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 58234816080 in words is "fifty-eight billion, two hundred thirty-four million, eight hundred sixteen thousand, eighty".