580223221776 has 480 divisors, whose sum is σ = 1914715545600. Its totient is φ = 162161326080.

The previous prime is 580223221759. The next prime is 580223221819. The reversal of 580223221776 is 677122322085.

580223221776 is a `hidden beast` number, since 580 + 22 + 32 + 2 + 17 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173561961 + ... + 173565303.

It is an arithmetic number, because the mean of its divisors is an integer number (3988990720).

Almost surely, 2^580223221776 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 580223221776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957357772800).

580223221776 is an abundant number, since it is smaller than the sum of its proper divisors (1334492323824).

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

580223221776 is a wasteful number, since it uses less digits than its factorization.

580223221776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 580223221776 in words is "five hundred eighty billion, two hundred twenty-three million, two hundred twenty-one thousand, seven hundred seventy-six".