11042551200 has 144 divisors (see below), whose sum is σ = 36103626720. Its totient is φ = 2931563520.

The previous prime is 11042551189. The next prime is 11042551207. The reversal of 11042551200 is 215524011.

11042551200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11042551207) 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 23 ways as a sum of consecutive naturals, for example, 534666 + ... + 554934.

It is an arithmetic number, because the mean of its divisors is an integer number (250719630).

Almost surely, 2^11042551200 is an apocalyptic number.

11042551200 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 11042551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051813360).

11042551200 is an abundant number, since it is smaller than the sum of its proper divisors (25061075520).

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

11042551200 is a wasteful number, since it uses less digits than its factorization.

11042551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20506 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 11042551200 in words is "eleven billion, forty-two million, five hundred fifty-one thousand, two hundred".