58320686880 has 480 divisors, whose sum is σ = 224987051520. Its totient is φ = 14163517440.

The previous prime is 58320686867. The next prime is 58320686899. The reversal of 58320686880 is 8868602385.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 6825651 + ... + 6834189.

It is an arithmetic number, because the mean of its divisors is an integer number (468723024).

Almost surely, 2^58320686880 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 58320686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112493525760).

58320686880 is an abundant number, since it is smaller than the sum of its proper divisors (166666364640).

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

58320686880 is a wasteful number, since it uses less digits than its factorization.

58320686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 58320686880 in words is "fifty-eight billion, three hundred twenty million, six hundred eighty-six thousand, eight hundred eighty".