11000011111100 has 144 divisors (see below), whose sum is σ = 27146174533632. Its totient is φ = 3832644000000.

The previous prime is 11000011111099. The next prime is 11000011111121. The reversal of 11000011111100 is 111111000011.

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, 1847165 + ... + 5041035.

It is an arithmetic number, because the mean of its divisors is an integer number (188515100928).

Almost surely, 2^{11000011111100} is an apocalyptic number.

11000011111100 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 11000011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573087266816).

11000011111100 is an abundant number, since it is smaller than the sum of its proper divisors (16146163422532).

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

11000011111100 is a wasteful number, since it uses less digits than its factorization.

11000011111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194028 (or 3194021 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11000011111100 its reverse (111111000011), we get a palindrome (11111122111111).

It can be divided in two parts, 11000011 and 111100, that added together give a palindrome (11111111).

The spelling of 11000011111100 in words is "eleven trillion, eleven million, one hundred eleven thousand, one hundred".