11004219800 has 192 divisors, whose sum is σ = 29998080000. Its totient is φ = 3676216320.

The previous prime is 11004219757. The next prime is 11004219869. The reversal of 11004219800 is 891240011.

11004219800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 104901²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 11004219800.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10489676 + ... + 10490724.

It is an arithmetic number, because the mean of its divisors is an integer number (156240000).

Almost surely, 2^11004219800 is an apocalyptic number.

11004219800 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 11004219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040000).

11004219800 is an abundant number, since it is smaller than the sum of its proper divisors (18993860200).

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

11004219800 is a wasteful number, since it uses less digits than its factorization.

11004219800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 11004219800 its reverse (891240011), we get a palindrome (11895459811).

The spelling of 11004219800 in words is "eleven billion, four million, two hundred nineteen thousand, eight hundred".