11116396800 has 432 divisors, whose sum is σ = 42550193280. Its totient is φ = 2834472960.

The previous prime is 11116396771. The next prime is 11116396829. The reversal of 11116396800 is 869361111.

It is a happy number.

11116396800 is a `hidden beast` number, since 1 + 1 + 11 + 639 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11116396771) and next prime (11116396829).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973002 + ... + 3975798.

Almost surely, 2^11116396800 is an apocalyptic number.

11116396800 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 11116396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275096640).

11116396800 is an abundant number, since it is smaller than the sum of its proper divisors (31433796480).

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

11116396800 is a wasteful number, since it uses less digits than its factorization.

11116396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11116396800 in words is "eleven billion, one hundred sixteen million, three hundred ninety-six thousand, eight hundred".