11055501200 has 60 divisors (see below), whose sum is σ = 28123261380. Its totient is φ = 4162068480.

The previous prime is 11055501181. The next prime is 11055501203. The reversal of 11055501200 is 210555011.

It is a happy number.

11055501200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 292683664 + 10762817536 = 17108^2 + 103744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11055501203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806105 + ... + 819704.

It is an arithmetic number, because the mean of its divisors is an integer number (468721023).

Almost surely, 2^11055501200 is an apocalyptic number.

11055501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11055501200 is an abundant number, since it is smaller than the sum of its proper divisors (17067760180).

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

11055501200 is a wasteful number, since it uses less digits than its factorization.

11055501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625844 (or 1625833 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The spelling of 11055501200 in words is "eleven billion, fifty-five million, five hundred one thousand, two hundred".