5580638208 has 120 divisors (see below), whose sum is σ = 16669442790. Its totient is φ = 1860157440.

The previous prime is 5580638149. The next prime is 5580638209. The reversal of 5580638208 is 8028360855.

It is a happy number.

5580638208 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 638 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3978077184 + 1602561024 = 63072^2 + 40032^2 .

It is a super-2 number, since 2×5580638208² = 62287045617178902528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5580638209) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 149068 + ... + 182708.

Almost surely, 2^5580638208 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 5580638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334721395).

5580638208 is an abundant number, since it is smaller than the sum of its proper divisors (11088804582).

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

5580638208 is an equidigital number, since it uses as much as digits as its factorization.

5580638208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5580638208 is about 74703.6693074711. The cubic root of 5580638208 is about 1773.7590435289.

The spelling of 5580638208 in words is "five billion, five hundred eighty million, six hundred thirty-eight thousand, two hundred eight".