11253000200 has 108 divisors (see below), whose sum is σ = 28379778165. Its totient is φ = 4147752960.

The previous prime is 11253000131. The next prime is 11253000223. The reversal of 11253000200 is 200035211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 320624836 + 10932375364 = 17906^2 + 104558^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75010.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19502312 + ... + 19502888.

Almost surely, 2^11253000200 is an apocalyptic number.

11253000200 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 11253000200

11253000200 is an abundant number, since it is smaller than the sum of its proper divisors (17126777965).

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

11253000200 is an equidigital number, since it uses as much as digits as its factorization.

11253000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 11253000200 its reverse (200035211), we get a palindrome (11453035411).

The spelling of 11253000200 in words is "eleven billion, two hundred fifty-three million, two hundred", and thus it is an aban number.