11795200 has 108 divisors (see below), whose sum is σ = 31048360. Its totient is φ = 4423680.

The previous prime is 11795197. The next prime is 11795237. The reversal of 11795200 is 259711.

11795200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121552 + ... + 121648.

Almost surely, 2^11795200 is an apocalyptic number.

11795200 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 11795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524180).

11795200 is an abundant number, since it is smaller than the sum of its proper divisors (19253160).

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

11795200 is an equidigital number, since it uses as much as digits as its factorization.

11795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 11795200 is about 3434.4140693865. The cubic root of 11795200 is about 227.6329376402.

The spelling of 11795200 in words is "eleven million, seven hundred ninety-five thousand, two hundred".