580426409427072 has 256 divisors, whose sum is σ = 1686153397662720. Its totient is φ = 175838202777600.

The previous prime is 580426409427037. The next prime is 580426409427079. The reversal of 580426409427072 is 270724904624085.

It is a junction number, because it is equal to n+sod(n) for n = 580426409426997 and 580426409427015.

It is not an unprimeable number, because it can be changed into a prime (580426409427079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83732197 + ... + 90398747.

It is an arithmetic number, because the mean of its divisors is an integer number (6586536709620).

Almost surely, 2^{580426409427072} is an apocalyptic number.

580426409427072 is a gapful number since it is divisible by the number (52) 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 580426409427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843076698831360).

580426409427072 is an abundant number, since it is smaller than the sum of its proper divisors (1105726988235648).

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

580426409427072 is a wasteful number, since it uses less digits than its factorization.

580426409427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666851 (or 6666839 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 580426409427072 in words is "five hundred eighty trillion, four hundred twenty-six billion, four hundred nine million, four hundred twenty-seven thousand, seventy-two".