11124408800 has 72 divisors (see below), whose sum is σ = 28586842200. Its totient is φ = 4215559680.

The previous prime is 11124408751. The next prime is 11124408811. The reversal of 11124408800 is 880442111.

It is a happy number.

It is a super-2 number, since 2×11124408800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350735 + ... + 381134.

It is an arithmetic number, because the mean of its divisors is an integer number (397039475).

Almost surely, 2^11124408800 is an apocalyptic number.

11124408800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124408800 is an abundant number, since it is smaller than the sum of its proper divisors (17462433400).

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

11124408800 is a wasteful number, since it uses less digits than its factorization.

11124408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731908 (or 731895 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The spelling of 11124408800 in words is "eleven billion, one hundred twenty-four million, four hundred eight thousand, eight hundred".