580072205000 has 60 divisors (see below), whose sum is σ = 1359235370295. Its totient is φ = 232007340000.

The previous prime is 580072204967. The next prime is 580072205039. The reversal of 580072205000 is 502270085.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 134112693796 + 445959511204 = 366214^2 + 667802^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=538550.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 53849615 + ... + 53860385.

Almost surely, 2^580072205000 is an apocalyptic number.

580072205000 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 580072205000

580072205000 is an abundant number, since it is smaller than the sum of its proper divisors (779163165295).

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

580072205000 is an frugal number, since it uses more digits than its factorization.

580072205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21568 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

Adding to 580072205000 its reverse (502270085), we get a palindrome (580574475085).

The spelling of 580072205000 in words is "five hundred eighty billion, seventy-two million, two hundred five thousand".