11255511200 has 72 divisors (see below), whose sum is σ = 27575852220. Its totient is φ = 4486092800.

The previous prime is 11255511187. The next prime is 11255511203. The reversal of 11255511200 is 211555211.

It can be written as a sum of positive squares in 6 ways, for example, as 6299914384 + 4955596816 = 79372^2 + 70396^2 .

It is not an unprimeable number, because it can be changed into a prime (11255511203) 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, 199766 + ... + 249834.

Almost surely, 2^11255511200 is an apocalyptic number.

11255511200 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 11255511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787926110).

11255511200 is an abundant number, since it is smaller than the sum of its proper divisors (16320341020).

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

11255511200 is a wasteful number, since it uses less digits than its factorization.

11255511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50370 (or 50357 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 23.

The spelling of 11255511200 in words is "eleven billion, two hundred fifty-five million, five hundred eleven thousand, two hundred".