11010000111000 has 256 divisors, whose sum is σ = 39103345382400. Its totient is φ = 2553043328000.

The previous prime is 11010000110999. The next prime is 11010000111041. The reversal of 11010000111000 is 11100001011.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 11010000111000.

It is a congruent number.

It is an unprimeable number.

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, 6493965 + ... + 8011964.

It is an arithmetic number, because the mean of its divisors is an integer number (152747442900).

Almost surely, 2^{11010000111000} is an apocalyptic number.

11010000111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010000111000 is an abundant number, since it is smaller than the sum of its proper divisors (28093345271400).

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

11010000111000 is a wasteful number, since it uses less digits than its factorization.

11010000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505987 (or 14505973 counting only the distinct ones).

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

Adding to 11010000111000 its reverse (11100001011), we get a palindrome (11021100112011).

It can be divided in two parts, 1101000011 and 1000, that added together give a palindrome (1101001011).

The spelling of 11010000111000 in words is "eleven trillion, ten billion, one hundred eleven thousand".