5008813200 has 420 divisors, whose sum is σ = 18339512580. Its totient is φ = 1313832960.

The previous prime is 5008813169. The next prime is 5008813211. The reversal of 5008813200 is 23188005.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 921001104 + 4087812096 = 30348^2 + 63936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25952304 + ... + 25952496.

Almost surely, 2^5008813200 is an apocalyptic number.

5008813200 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 5008813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169756290).

5008813200 is an abundant number, since it is smaller than the sum of its proper divisors (13330699380).

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

5008813200 is a wasteful number, since it uses less digits than its factorization.

5008813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5008813200 is about 70772.9694162962. The cubic root of 5008813200 is about 1710.9800476190.

The spelling of 5008813200 in words is "five billion, eight million, eight hundred thirteen thousand, two hundred".