580506025815072 has 1152 divisors, whose sum is σ = 2068717602631680. Its totient is φ = 157750363330560.

The previous prime is 580506025815017. The next prime is 580506025815083. The reversal of 580506025815072 is 270518520605085.

580506025815072 is a `hidden beast` number, since 5 + 8 + 0 + 5 + 0 + 6 + 0 + 2 + 581 + 50 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13748552553 + ... + 13748594775.

It is an arithmetic number, because the mean of its divisors is an integer number (1795761807840).

Almost surely, 2^{580506025815072} 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 580506025815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034358801315840).

580506025815072 is an abundant number, since it is smaller than the sum of its proper divisors (1488211576816608).

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

580506025815072 is a wasteful number, since it uses less digits than its factorization.

580506025815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42491 (or 42470 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 580506025815072 in words is "five hundred eighty trillion, five hundred six billion, twenty-five million, eight hundred fifteen thousand, seventy-two".