5580580320 has 384 divisors, whose sum is σ = 23046266880. Its totient is φ = 1234206720.

The previous prime is 5580580319. The next prime is 5580580339. The reversal of 5580580320 is 230850855.

5580580320 is a `hidden beast` number, since 5 + 58 + 0 + 580 + 3 + 20 = 666.

It is a super-2 number, since 2×5580580320² = 62285753415942604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934464 + ... + 940416.

It is an arithmetic number, because the mean of its divisors is an integer number (60016320).

Almost surely, 2^5580580320 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 5580580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523133440).

5580580320 is an abundant number, since it is smaller than the sum of its proper divisors (17465686560).

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

5580580320 is a wasteful number, since it uses less digits than its factorization.

5580580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5580580320 is about 74703.2818556186. The cubic root of 5580580320 is about 1773.7529104360.

The spelling of 5580580320 in words is "five billion, five hundred eighty million, five hundred eighty thousand, three hundred twenty".