580773288480 has 768 divisors, whose sum is σ = 2368079400960. Its totient is φ = 116095795200.

The previous prime is 580773288461. The next prime is 580773288497. The reversal of 580773288480 is 84882377085.

It is a super-2 number, since 2×580773288480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354778222 + ... + 354779858.

It is an arithmetic number, because the mean of its divisors is an integer number (3083436720).

Almost surely, 2^580773288480 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 580773288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184039700480).

580773288480 is an abundant number, since it is smaller than the sum of its proper divisors (1787306112480).

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

580773288480 is a wasteful number, since it uses less digits than its factorization.

580773288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 580773288480 in words is "five hundred eighty billion, seven hundred seventy-three million, two hundred eighty-eight thousand, four hundred eighty".