11855200 has 144 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 3870720.

The previous prime is 11855177. The next prime is 11855213. The reversal of 11855200 is 255811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162364 + ... + 162436.

It is an arithmetic number, because the mean of its divisors is an integer number (240870).

Almost surely, 2^11855200 is an apocalyptic number.

11855200 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 11855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

11855200 is an abundant number, since it is smaller than the sum of its proper divisors (22830080).

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

11855200 is a wasteful number, since it uses less digits than its factorization.

11855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 11855200 is about 3443.1381035329. The cubic root of 11855200 is about 228.0182605668.

The spelling of 11855200 in words is "eleven million, eight hundred fifty-five thousand, two hundred".