11088100128 has 384 divisors, whose sum is σ = 36494696448. Its totient is φ = 2875981824.

The previous prime is 11088100117. The next prime is 11088100129. The reversal of 11088100128 is 82100188011.

11088100128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11088100095 and 11088100104.

It is not an unprimeable number, because it can be changed into a prime (11088100129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 57451200 + ... + 57451392.

It is an arithmetic number, because the mean of its divisors is an integer number (95038272).

Almost surely, 2^11088100128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247348224).

11088100128 is an abundant number, since it is smaller than the sum of its proper divisors (25406596320).

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

11088100128 is a wasteful number, since it uses less digits than its factorization.

11088100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

Adding to 11088100128 its reverse (82100188011), we get a palindrome (93188288139).

The spelling of 11088100128 in words is "eleven billion, eighty-eight million, one hundred thousand, one hundred twenty-eight".