11038003200 has 936 divisors, whose sum is σ = 47534011200. Its totient is φ = 2394685440.

The previous prime is 11038003187. The next prime is 11038003211. The reversal of 11038003200 is 230083011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187084771 + ... + 187084829.

It is an arithmetic number, because the mean of its divisors is an integer number (50784200).

Almost surely, 2^11038003200 is an apocalyptic number.

11038003200 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 11038003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767005600).

11038003200 is an abundant number, since it is smaller than the sum of its proper divisors (36496008000).

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

11038003200 is a wasteful number, since it uses less digits than its factorization.

11038003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11038003200 its reverse (230083011), we get a palindrome (11268086211).

The spelling of 11038003200 in words is "eleven billion, thirty-eight million, three thousand, two hundred".