5584122800 has 120 divisors (see below), whose sum is σ = 14156683200. Its totient is φ = 2110890240.

The previous prime is 5584122799. The next prime is 5584122823. The reversal of 5584122800 is 82214855.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4703807 + ... + 4704993.

It is an arithmetic number, because the mean of its divisors is an integer number (117972360).

Almost surely, 2^5584122800 is an apocalyptic number.

5584122800 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 5584122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078341600).

5584122800 is an abundant number, since it is smaller than the sum of its proper divisors (8572560400).

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

5584122800 is a wasteful number, since it uses less digits than its factorization.

5584122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 5584122800 is about 74726.9884312221. The cubic root of 5584122800 is about 1774.1281494948.

The spelling of 5584122800 in words is "five billion, five hundred eighty-four million, one hundred twenty-two thousand, eight hundred".