58079083013280 has 768 divisors, whose sum is σ = 253916971499520. Its totient is φ = 12091277721600.

The previous prime is 58079083013221. The next prime is 58079083013401. The reversal of 58079083013280 is 8231038097085.

58079083013280 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 9 + 0 + 8 + 301 + 328 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14114275 + ... + 17758685.

It is an arithmetic number, because the mean of its divisors is an integer number (330621056640).

Almost surely, 2^{58079083013280} 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 58079083013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126958485749760).

58079083013280 is an abundant number, since it is smaller than the sum of its proper divisors (195837888486240).

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

58079083013280 is a wasteful number, since it uses less digits than its factorization.

58079083013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644490 (or 3644476 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 58079083013280 in words is "fifty-eight trillion, seventy-nine billion, eighty-three million, thirteen thousand, two hundred eighty".