580133540100 has 72 divisors (see below), whose sum is σ = 1678863983328. Its totient is φ = 154670547200.

The previous prime is 580133540093. The next prime is 580133540141. The reversal of 580133540100 is 1045331085.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285255 + ... + 1676945.

It is an arithmetic number, because the mean of its divisors is an integer number (23317555324).

Almost surely, 2^580133540100 is an apocalyptic number.

580133540100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

580133540100 is an abundant number, since it is smaller than the sum of its proper divisors (1098730443228).

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

580133540100 is a wasteful number, since it uses less digits than its factorization.

580133540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396645 (or 396638 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 580133540100 its reverse (1045331085), we get a palindrome (581178871185).

The spelling of 580133540100 in words is "five hundred eighty billion, one hundred thirty-three million, five hundred forty thousand, one hundred".