11223878400 has 648 divisors, whose sum is σ = 47605119744. Its totient is φ = 2562969600.

The previous prime is 11223878389. The next prime is 11223878429. The reversal of 11223878400 is 487832211.

11223878400 is a `hidden beast` number, since 1 + 12 + 238 + 7 + 8 + 400 = 666.

11223878400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10885885 + ... + 10886915.

Almost surely, 2^11223878400 is an apocalyptic number.

11223878400 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 11223878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23802559872).

11223878400 is an abundant number, since it is smaller than the sum of its proper divisors (36381241344).

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

11223878400 is an equidigital number, since it uses as much as digits as its factorization.

11223878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11223878400 in words is "eleven billion, two hundred twenty-three million, eight hundred seventy-eight thousand, four hundred".