11243836800 has 480 divisors, whose sum is σ = 47427343920. Its totient is φ = 2569605120.

The previous prime is 11243836783. The next prime is 11243836823. The reversal of 11243836800 is 863834211.

11243836800 is a `hidden beast` number, since 112 + 438 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1811302 + ... + 1817498.

Almost surely, 2^11243836800 is an apocalyptic number.

11243836800 is a gapful number since it is divisible by the number (10) 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 11243836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23713671960).

11243836800 is an abundant number, since it is smaller than the sum of its proper divisors (36183507120).

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

11243836800 is an equidigital number, since it uses as much as digits as its factorization.

11243836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11243836800 in words is "eleven billion, two hundred forty-three million, eight hundred thirty-six thousand, eight hundred".