5585500800 has 576 divisors, whose sum is σ = 22581992160. Its totient is φ = 1351987200.

The previous prime is 5585500783. The next prime is 5585500829. The reversal of 5585500800 is 80055855.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8553274 + ... + 8553926.

Almost surely, 2^5585500800 is an apocalyptic number.

5585500800 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 5585500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290996080).

5585500800 is an abundant number, since it is smaller than the sum of its proper divisors (16996491360).

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

5585500800 is a wasteful number, since it uses less digits than its factorization.

5585500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 5585500800 is about 74736.2080921958. The cubic root of 5585500800 is about 1774.2740719973.

The spelling of 5585500800 in words is "five billion, five hundred eighty-five million, five hundred thousand, eight hundred".