11113422028800 has 2304 divisors, whose sum is σ = 47728270195200. Its totient is φ = 2259261849600.

The previous prime is 11113422028757. The next prime is 11113422028837. The reversal of 11113422028800 is 882022431111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48530227086 + ... + 48530227314.

It is an arithmetic number, because the mean of its divisors is an integer number (20715395050).

Almost surely, 2^{11113422028800} is an apocalyptic number.

11113422028800 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 11113422028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864135097600).

11113422028800 is an abundant number, since it is smaller than the sum of its proper divisors (36614848166400).

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

11113422028800 is a wasteful number, since it uses less digits than its factorization.

11113422028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 11113422028800 its reverse (882022431111), we get a palindrome (11995444459911).

The spelling of 11113422028800 in words is "eleven trillion, one hundred thirteen billion, four hundred twenty-two million, twenty-eight thousand, eight hundred".