8937116800 has 96 divisors (see below), whose sum is σ = 22112150580. Its totient is φ = 3569233920.

The previous prime is 8937116791. The next prime is 8937116911. The reversal of 8937116800 is 86117398.

It can be written as a sum of positive squares in 6 ways, for example, as 61504 + 8937055296 = 248^2 + 94536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2471794 + ... + 2475406.

Almost surely, 2^8937116800 is an apocalyptic number.

8937116800 is a gapful number since it is divisible by the number (80) 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 8937116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056075290).

8937116800 is an abundant number, since it is smaller than the sum of its proper divisors (13175033780).

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

8937116800 is a wasteful number, since it uses less digits than its factorization.

8937116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 8937116800 is about 94536.3252935082. The cubic root of 8937116800 is about 2075.2279654704.

The spelling of 8937116800 in words is "eight billion, nine hundred thirty-seven million, one hundred sixteen thousand, eight hundred".