11011111000110 has 128 divisors (see below), whose sum is σ = 31625688850560. Its totient is φ = 2710081317888.

The previous prime is 11011111000079. The next prime is 11011111000111. The reversal of 11011111000110 is 1100011111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011111000092 and 11011111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27859192 + ... + 28251668.

It is an arithmetic number, because the mean of its divisors is an integer number (247075694145).

Almost surely, 2^{11011111000110} is an apocalyptic number.

11011111000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011111000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812844425280).

11011111000110 is an abundant number, since it is smaller than the sum of its proper divisors (20614577850450).

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

11011111000110 is a wasteful number, since it uses less digits than its factorization.

11011111000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400499 (or 400493 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011111000110 its reverse (1100011111011), we get a palindrome (12111122111121).

The spelling of 11011111000110 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred ten", and thus it is an aban number.