11057200 has 120 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 3436800.

The previous prime is 11057171. The next prime is 11057201. The reversal of 11057200 is 275011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11057201) 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, 30621 + ... + 30979.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^11057200 is an apocalyptic number.

11057200 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 11057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

11057200 is an abundant number, since it is smaller than the sum of its proper divisors (22154960).

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

11057200 is a wasteful number, since it uses less digits than its factorization.

11057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 11057200 is about 3325.2368336706. The cubic root of 11057200 is about 222.7828326805.

The spelling of 11057200 in words is "eleven million, fifty-seven thousand, two hundred".