10118224800 has 108 divisors (see below), whose sum is σ = 35679415590. Its totient is φ = 2698191360.

The previous prime is 10118224783. The next prime is 10118224829. The reversal of 10118224800 is 842281101.

10118224800 is a `hidden beast` number, since 1 + 0 + 1 + 182 + 2 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6400640016 + 3717584784 = 80004^2 + 60972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 695455 + ... + 709854.

Almost surely, 2^10118224800 is an apocalyptic number.

10118224800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10118224800 is an abundant number, since it is smaller than the sum of its proper divisors (25561190790).

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

10118224800 is a wasteful number, since it uses less digits than its factorization.

10118224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405335 (or 1405319 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10118224800 in words is "ten billion, one hundred eighteen million, two hundred twenty-four thousand, eight hundred".