580970880000 has 1100 divisors, whose sum is σ = 2479172498352. Its totient is φ = 132710400000.

The previous prime is 580970879977. The next prime is 580970880011. The reversal of 580970880000 is 88079085.

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 (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879200 + ... + 362880800.

Almost surely, 2^580970880000 is an apocalyptic number.

580970880000 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 580970880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239586249176).

580970880000 is an abundant number, since it is smaller than the sum of its proper divisors (1898201618352).

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

580970880000 is an equidigital number, since it uses as much as digits as its factorization.

580970880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 580970880000 in words is "five hundred eighty billion, nine hundred seventy million, eight hundred eighty thousand".