55091200 has 84 divisors (see below), whose sum is σ = 137125710. Its totient is φ = 21954560.

The previous prime is 55091177. The next prime is 55091269. The reversal of 55091200 is 219055.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 28217344 = 5184^2 + 5312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204666 + ... + 204934.

Almost surely, 2^55091200 is an apocalyptic number.

55091200 is a gapful number since it is divisible by the number (50) 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 55091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68562855).

55091200 is an abundant number, since it is smaller than the sum of its proper divisors (82034510).

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

55091200 is an equidigital number, since it uses as much as digits as its factorization.

55091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 55091200 is about 7422.3446430356. The cubic root of 55091200 is about 380.5053295542.

The spelling of 55091200 in words is "fifty-five million, ninety-one thousand, two hundred".