11004014200 has 96 divisors (see below), whose sum is σ = 27558236160. Its totient is φ = 4074364800.

The previous prime is 11004014183. The next prime is 11004014207. The reversal of 11004014200 is 241040011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004014207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104017 + ... + 181183.

It is an arithmetic number, because the mean of its divisors is an integer number (287064960).

Almost surely, 2^11004014200 is an apocalyptic number.

11004014200 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 11004014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779118080).

11004014200 is an abundant number, since it is smaller than the sum of its proper divisors (16554221960).

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

11004014200 is a wasteful number, since it uses less digits than its factorization.

11004014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77237 (or 77228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11004014200 its reverse (241040011), we get a palindrome (11245054211).

It can be divided in two parts, 1100401 and 4200, that added together give a square (1104601 = 1051²).

The spelling of 11004014200 in words is "eleven billion, four million, fourteen thousand, two hundred".