580132869120 has 1408 divisors, whose sum is σ = 2472089518080. Its totient is φ = 126234132480.

The previous prime is 580132869101. The next prime is 580132869133. The reversal of 580132869120 is 21968231085.

580132869120 is a `hidden beast` number, since 580 + 1 + 3 + 2 + 8 + 69 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2489840524 + ... + 2489840756.

Almost surely, 2^580132869120 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 580132869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236044759040).

580132869120 is an abundant number, since it is smaller than the sum of its proper divisors (1891956648960).

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

580132869120 is a wasteful number, since it uses less digits than its factorization.

580132869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 580132869120 in words is "five hundred eighty billion, one hundred thirty-two million, eight hundred sixty-nine thousand, one hundred twenty".