580890902000640 has 2112 divisors, whose sum is σ = 2382705824219136. Its totient is φ = 119434936320000.

The previous prime is 580890902000621. The next prime is 580890902000677. The reversal of 580890902000640 is 46000209098085.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333653590170 + ... + 333653591910.

Almost surely, 2^{580890902000640} 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 580890902000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191352912109568).

580890902000640 is an abundant number, since it is smaller than the sum of its proper divisors (1801814922218496).

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

580890902000640 is a wasteful number, since it uses less digits than its factorization.

580890902000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 580890902000640 in words is "five hundred eighty trillion, eight hundred ninety billion, nine hundred two million, six hundred forty", and thus it is an aban number.