11053200 has 120 divisors (see below), whose sum is σ = 36225856. Its totient is φ = 2880000.

The previous prime is 11053181. The next prime is 11053201. The reversal of 11053200 is 235011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11053201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73125 + ... + 73275.

Almost surely, 2^11053200 is an apocalyptic number.

11053200 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 11053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112928).

11053200 is an abundant number, since it is smaller than the sum of its proper divisors (25172656).

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

11053200 is a wasteful number, since it uses less digits than its factorization.

11053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11053200 is about 3324.6353183470. The cubic root of 11053200 is about 222.7559651550.

Adding to 11053200 its reverse (235011), we get a palindrome (11288211).

The spelling of 11053200 in words is "eleven million, fifty-three thousand, two hundred".