11259200 has 84 divisors (see below), whose sum is σ = 28724352. Its totient is φ = 4339200.

The previous prime is 11259181. The next prime is 11259203. The reversal of 11259200 is 295211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11259203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49487 + ... + 49713.

Almost surely, 2^11259200 is an apocalyptic number.

11259200 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 11259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

11259200 is an abundant number, since it is smaller than the sum of its proper divisors (17465152).

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

11259200 is a wasteful number, since it uses less digits than its factorization.

11259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 11259200 is about 3355.4731410041. The cubic root of 11259200 is about 224.1313005724.

The spelling of 11259200 in words is "eleven million, two hundred fifty-nine thousand, two hundred".