580900320000 has 3240 divisors, whose sum is σ = 2916671966208. Its totient is φ = 107827200000.

The previous prime is 580900319999. The next prime is 580900320053. The reversal of 580900320000 is 23009085.

It is a super-2 number, since 2×580900320000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18738719985 + ... + 18738720015.

Almost surely, 2^580900320000 is an apocalyptic number.

580900320000 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 580900320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458335983104).

580900320000 is an abundant number, since it is smaller than the sum of its proper divisors (2335771646208).

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

580900320000 is a wasteful number, since it uses less digits than its factorization.

580900320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 580900320000 its reverse (23009085), we get a palindrome (580923329085).

The spelling of 580900320000 in words is "five hundred eighty billion, nine hundred million, three hundred twenty thousand".