580906972800 has 2304 divisors, whose sum is σ = 2883865420800. Its totient is φ = 107495424000.

The previous prime is 580906972799. The next prime is 580906972801. The reversal of 580906972800 is 8279609085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (580906972799) and next prime (580906972801).

It is a super-2 number, since 2×580906972800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (580906972801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 716284395 + ... + 716285205.

It is an arithmetic number, because the mean of its divisors is an integer number (1251677700).

Almost surely, 2^580906972800 is an apocalyptic number.

580906972800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580906972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441932710400).

580906972800 is an abundant number, since it is smaller than the sum of its proper divisors (2302958448000).

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

580906972800 is a wasteful number, since it uses less digits than its factorization.

580906972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 580906972800 in words is "five hundred eighty billion, nine hundred six million, nine hundred seventy-two thousand, eight hundred".