11094400800 has 432 divisors, whose sum is σ = 44939748672. Its totient is φ = 2522880000.

The previous prime is 11094400721. The next prime is 11094400813. The reversal of 11094400800 is 800449011.

It is a super-2 number, since 2×11094400800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12649962 + ... + 12650838.

It is an arithmetic number, because the mean of its divisors is an integer number (104027196).

Almost surely, 2^11094400800 is an apocalyptic number.

11094400800 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 11094400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469874336).

11094400800 is an abundant number, since it is smaller than the sum of its proper divisors (33845347872).

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

11094400800 is a wasteful number, since it uses less digits than its factorization.

11094400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11094400800 its reverse (800449011), we get a palindrome (11894849811).

The spelling of 11094400800 in words is "eleven billion, ninety-four million, four hundred thousand, eight hundred".