580780934922240 has 2048 divisors, whose sum is σ = 2306932745644800. Its totient is φ = 139428731289600.

The previous prime is 580780934922127. The next prime is 580780934922277. The reversal of 580780934922240 is 42229439087085.

580780934922240 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 80 + 9 + 3 + 492 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

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, 190983535120 + ... + 190983538160.

Almost surely, 2^{580780934922240} 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 580780934922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153466372822400).

580780934922240 is an abundant number, since it is smaller than the sum of its proper divisors (1726151810722560).

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

580780934922240 is an frugal number, since it uses more digits than its factorization.

580780934922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 580780934922240 in words is "five hundred eighty trillion, seven hundred eighty billion, nine hundred thirty-four million, nine hundred twenty-two thousand, two hundred forty".