580554486960 has 640 divisors, whose sum is σ = 2173489459200. Its totient is φ = 125395845120.

The previous prime is 580554486949. The next prime is 580554487001. The reversal of 580554486960 is 69684455085.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 580554486894 and 580554486903.

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, 543081306 + ... + 543082374.

It is an arithmetic number, because the mean of its divisors is an integer number (3396077280).

Almost surely, 2^580554486960 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 580554486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086744729600).

580554486960 is an abundant number, since it is smaller than the sum of its proper divisors (1592934972240).

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

580554486960 is a wasteful number, since it uses less digits than its factorization.

580554486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 580554486960 in words is "five hundred eighty billion, five hundred fifty-four million, four hundred eighty-six thousand, nine hundred sixty".