11052800 has 108 divisors (see below), whose sum is σ = 30034536. Its totient is φ = 3993600.

The previous prime is 11052793. The next prime is 11052809. The reversal of 11052800 is 825011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052809) 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, 70322 + ... + 70478.

Almost surely, 2^11052800 is an apocalyptic number.

11052800 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 11052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017268).

11052800 is an abundant number, since it is smaller than the sum of its proper divisors (18981736).

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

11052800 is a wasteful number, since it uses less digits than its factorization.

11052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 11052800 is about 3324.5751608288. The cubic root of 11052800 is about 222.7532780459.

Adding to 11052800 its reverse (825011), we get a palindrome (11877811).

The spelling of 11052800 in words is "eleven million, fifty-two thousand, eight hundred".