11000110001100 has 288 divisors, whose sum is σ = 36809029404672. Its totient is φ = 2510922240000.

The previous prime is 11000110001081. The next prime is 11000110001113. The reversal of 11000110001100 is 110001100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

11000110001100 is a modest number, since divided by 110001100 gives 1100 as remainder.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332020 + ... + 5238180.

Almost surely, 2^{11000110001100} is an apocalyptic number.

11000110001100 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 11000110001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404514702336).

11000110001100 is an abundant number, since it is smaller than the sum of its proper divisors (25808919403572).

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

11000110001100 is a wasteful number, since it uses less digits than its factorization.

11000110001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906257 (or 2906250 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000110001100 its reverse (110001100011), we get a palindrome (11110111101111).

11000110001100 divided by its reverse (110001100011) gives a square (100 = 10²).

It can be divided in two parts, 110001 and 10001100, that added together give a palindrome (10111101).

The spelling of 11000110001100 in words is "eleven trillion, one hundred ten million, one thousand, one hundred".