58980301361280 has 768 divisors, whose sum is σ = 232378363002240. Its totient is φ = 13655776296960.

The previous prime is 58980301361257. The next prime is 58980301361329. The reversal of 58980301361280 is 8216310308985.

58980301361280 is a `hidden beast` number, since 5 + 8 + 9 + 8 + 0 + 3 + 0 + 13 + 612 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2193296635 + ... + 2193323525.

Almost surely, 2^{58980301361280} 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 58980301361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116189181501120).

58980301361280 is an abundant number, since it is smaller than the sum of its proper divisors (173398061640960).

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

58980301361280 is a wasteful number, since it uses less digits than its factorization.

58980301361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28669 (or 28654 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 58980301361280 in words is "fifty-eight trillion, nine hundred eighty billion, three hundred one million, three hundred sixty-one thousand, two hundred eighty".