580025365920 has 1536 divisors, whose sum is σ = 2752151592960. Its totient is φ = 110176174080.

The previous prime is 580025365897. The next prime is 580025365993. The reversal of 580025365920 is 29563520085.

580025365920 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 2 + 53 + 6 + 592 + 0 = 666.

It is a super-2 number, since 2×580025365920² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 488647567 + ... + 488648753.

It is an arithmetic number, because the mean of its divisors is an integer number (1791765360).

Almost surely, 2^580025365920 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 580025365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376075796480).

580025365920 is an abundant number, since it is smaller than the sum of its proper divisors (2172126227040).

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

580025365920 is a wasteful number, since it uses less digits than its factorization.

580025365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 580025365920 in words is "five hundred eighty billion, twenty-five million, three hundred sixty-five thousand, nine hundred twenty".