580282216800 has 1728 divisors, whose sum is σ = 2404619094528. Its totient is φ = 120434688000.

The previous prime is 580282216793. The next prime is 580282216819. The reversal of 580282216800 is 8612282085.

It is a super-2 number, since 2×580282216800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3560013519 + ... + 3560013681.

It is an arithmetic number, because the mean of its divisors is an integer number (1391561976).

Almost surely, 2^580282216800 is an apocalyptic number.

580282216800 is a gapful number since it is divisible by the number (50) 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 580282216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202309547264).

580282216800 is an abundant number, since it is smaller than the sum of its proper divisors (1824336877728).

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

580282216800 is a wasteful number, since it uses less digits than its factorization.

580282216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

Adding to 580282216800 its reverse (8612282085), we get a palindrome (588894498885).

The spelling of 580282216800 in words is "five hundred eighty billion, two hundred eighty-two million, two hundred sixteen thousand, eight hundred".