11055067200 has 252 divisors, whose sum is σ = 40356218500. Its totient is φ = 2868203520.

The previous prime is 11055067187. The next prime is 11055067253. The reversal of 11055067200 is 276055011.

It can be written as a sum of positive squares in 6 ways, for example, as 543076416 + 10511990784 = 23304^2 + 102528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 522426 + ... + 543174.

Almost surely, 2^11055067200 is an apocalyptic number.

11055067200 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 11055067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178109250).

11055067200 is an abundant number, since it is smaller than the sum of its proper divisors (29301151300).

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

11055067200 is a wasteful number, since it uses less digits than its factorization.

11055067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814 (or 20796 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11055067200 in words is "eleven billion, fifty-five million, sixty-seven thousand, two hundred".