5008585200 has 120 divisors (see below), whose sum is σ = 16237794048. Its totient is φ = 1319504640.

The previous prime is 5008585189. The next prime is 5008585213. The reversal of 5008585200 is 25858005.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent 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, 74457 + ... + 124743.

Almost surely, 2^5008585200 is an apocalyptic number.

5008585200 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 5008585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118897024).

5008585200 is an abundant number, since it is smaller than the sum of its proper divisors (11229208848).

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

5008585200 is a wasteful number, since it uses less digits than its factorization.

5008585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50391 (or 50380 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 5008585200 is about 70771.3586134956. The cubic root of 5008585200 is about 1710.9540860885.

The spelling of 5008585200 in words is "five billion, eight million, five hundred eighty-five thousand, two hundred".