580758958080 has 728 divisors, whose sum is σ = 2388453924192. Its totient is φ = 132721016832.

The previous prime is 580758958009. The next prime is 580758958093. The reversal of 580758958080 is 80859857085.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 580758957999 and 580758958017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104506662 + ... + 104512218.

Almost surely, 2^580758958080 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 580758958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194226962096).

580758958080 is an abundant number, since it is smaller than the sum of its proper divisors (1807694966112).

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

580758958080 is an frugal number, since it uses more digits than its factorization.

580758958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 63.

The spelling of 580758958080 in words is "five hundred eighty billion, seven hundred fifty-eight million, nine hundred fifty-eight thousand, eighty".