5186816800 has 144 divisors (see below), whose sum is σ = 13897360512. Its totient is φ = 1874662400.

The previous prime is 5186816777. The next prime is 5186816813. The reversal of 5186816800 is 86186815.

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, 1520697 + ... + 1524103.

It is an arithmetic number, because the mean of its divisors is an integer number (96509448).

Almost surely, 2^5186816800 is an apocalyptic number.

5186816800 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 5186816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948680256).

5186816800 is an abundant number, since it is smaller than the sum of its proper divisors (8710543712).

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

5186816800 is a wasteful number, since it uses less digits than its factorization.

5186816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 5186816800 is about 72019.5584546309. The cubic root of 5186816800 is about 1731.0128943227.

The spelling of 5186816800 in words is "five billion, one hundred eighty-six million, eight hundred sixteen thousand, eight hundred".