580817321920 has 224 divisors, whose sum is σ = 1607913732096. Its totient is φ = 197723750400.

The previous prime is 580817321911. The next prime is 580817321939. The reversal of 580817321920 is 29123718085.

It is a happy number.

It is a super-2 number, since 2×580817321920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728800 + ... + 3881440.

It is an arithmetic number, because the mean of its divisors is an integer number (7178186304).

Almost surely, 2^580817321920 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 580817321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803956866048).

580817321920 is an abundant number, since it is smaller than the sum of its proper divisors (1027096410176).

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

580817321920 is a wasteful number, since it uses less digits than its factorization.

580817321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152739 (or 152729 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 580817321920 in words is "five hundred eighty billion, eight hundred seventeen million, three hundred twenty-one thousand, nine hundred twenty".