11121808896 has 480 divisors, whose sum is σ = 37116895200. Its totient is φ = 3284582400.

The previous prime is 11121808877. The next prime is 11121808909. The reversal of 11121808896 is 69880812111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102034890 + ... + 102034998.

It is an arithmetic number, because the mean of its divisors is an integer number (77326865).

Almost surely, 2^11121808896 is an apocalyptic number.

11121808896 is a gapful number since it is divisible by the number (16) 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 11121808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558447600).

11121808896 is an abundant number, since it is smaller than the sum of its proper divisors (25995086304).

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

11121808896 is a wasteful number, since it uses less digits than its factorization.

11121808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 11121808896 in words is "eleven billion, one hundred twenty-one million, eight hundred eight thousand, eight hundred ninety-six".