11806387200 has 1056 divisors, whose sum is σ = 48734976000. Its totient is φ = 2786918400.

The previous prime is 11806387189. The next prime is 11806387213. The reversal of 11806387200 is 278360811.

11806387200 is a `hidden beast` number, since 1 + 18 + 0 + 638 + 7 + 2 + 0 + 0 = 666.

11806387200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 380851185 + ... + 380851215.

Almost surely, 2^11806387200 is an apocalyptic number.

11806387200 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 11806387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24367488000).

11806387200 is an abundant number, since it is smaller than the sum of its proper divisors (36928588800).

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

11806387200 is a wasteful number, since it uses less digits than its factorization.

11806387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11806387200 in words is "eleven billion, eight hundred six million, three hundred eighty-seven thousand, two hundred".