11000110011100 has 144 divisors (see below), whose sum is σ = 27402246144000. Its totient is φ = 3754612753920.

The previous prime is 11000110011089. The next prime is 11000110011133. The reversal of 11000110011100 is 111001100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a zygodrome in base 10.

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, 777770629 + ... + 777784771.

It is an arithmetic number, because the mean of its divisors is an integer number (190293376000).

Almost surely, 2^{11000110011100} is an apocalyptic number.

11000110011100 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 11000110011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701123072000).

11000110011100 is an abundant number, since it is smaller than the sum of its proper divisors (16402136132900).

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

11000110011100 is a wasteful number, since it uses less digits than its factorization.

11000110011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19052 (or 19045 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000110011100 its reverse (111001100011), we get a palindrome (11111111111111).

The spelling of 11000110011100 in words is "eleven trillion, one hundred ten million, eleven thousand, one hundred".