11116886400 has 288 divisors, whose sum is σ = 39967363800. Its totient is φ = 2942115840.

The previous prime is 11116886383. The next prime is 11116886413. The reversal of 11116886400 is 468861111.

11116886400 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 6 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 4001812 + ... + 4004588.

Almost surely, 2^11116886400 is an apocalyptic number.

11116886400 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 11116886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983681900).

11116886400 is an abundant number, since it is smaller than the sum of its proper divisors (28850477400).

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

11116886400 is a wasteful number, since it uses less digits than its factorization.

11116886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11116886400 in words is "eleven billion, one hundred sixteen million, eight hundred eighty-six thousand, four hundred".