11066187200 has 84 divisors (see below), whose sum is σ = 27387819240. Its totient is φ = 4400778240.

The previous prime is 11066187151. The next prime is 11066187203. The reversal of 11066187200 is 278166011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066187203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256811 + ... + 296789.

Almost surely, 2^11066187200 is an apocalyptic number.

11066187200 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 11066187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693909620).

11066187200 is an abundant number, since it is smaller than the sum of its proper divisors (16321632040).

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

11066187200 is a wasteful number, since it uses less digits than its factorization.

11066187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40174 (or 40159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 11066187200 in words is "eleven billion, sixty-six million, one hundred eighty-seven thousand, two hundred".