58380482160 has 1920 divisors, whose sum is σ = 284416081920. Its totient is φ = 10674892800.

The previous prime is 58380482141. The next prime is 58380482161. The reversal of 58380482160 is 6128408385.

58380482160 is a `hidden beast` number, since 5 + 8 + 3 + 8 + 0 + 482 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58380482161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 871350447 + ... + 871350513.

It is an arithmetic number, because the mean of its divisors is an integer number (148133376).

Almost surely, 2^58380482160 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 58380482160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142208040960).

58380482160 is an abundant number, since it is smaller than the sum of its proper divisors (226035599760).

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

58380482160 is a wasteful number, since it uses less digits than its factorization.

58380482160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

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

The spelling of 58380482160 in words is "fifty-eight billion, three hundred eighty million, four hundred eighty-two thousand, one hundred sixty".