11001111100866 has 192 divisors, whose sum is σ = 25476359500800. Its totient is φ = 3421028919168.

The previous prime is 11001111100823. The next prime is 11001111100867. The reversal of 11001111100866 is 66800111110011.

It is not an unprimeable number, because it can be changed into a prime (11001111100867) 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 95 ways as a sum of consecutive naturals, for example, 5271254875 + ... + 5271256961.

It is an arithmetic number, because the mean of its divisors is an integer number (132689372400).

Almost surely, 2^{11001111100866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001111100866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738179750400).

11001111100866 is an abundant number, since it is smaller than the sum of its proper divisors (14475248399934).

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

11001111100866 is a wasteful number, since it uses less digits than its factorization.

11001111100866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 11001111100866 its reverse (66800111110011), we get a palindrome (77801222210877).

The spelling of 11001111100866 in words is "eleven trillion, one billion, one hundred eleven million, one hundred thousand, eight hundred sixty-six".