11011000000000 has 1200 divisors, whose sum is σ = 37203629002848. Its totient is φ = 3168000000000.

The previous prime is 11010999999971. The next prime is 11011000000009. The reversal of 11011000000000 is 11011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000000009) 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 119 ways as a sum of consecutive naturals, for example, 846999999994 + ... + 847000000006.

Almost surely, 2^{11011000000000} is an apocalyptic number.

11011000000000 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 11011000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601814501424).

11011000000000 is an abundant number, since it is smaller than the sum of its proper divisors (26192629002848).

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

11011000000000 is an frugal number, since it uses more digits than its factorization.

11011000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11011000000000 its reverse (11011), we get a palindrome (11011000011011).

11011000000000 divided by its reverse (11011) gives a 9-th power (1000000000 = 10⁹).

It can be divided in two parts, 110 and 11000000000, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 11011000000000 in words is "eleven trillion, eleven billion", and thus it is an aban number and an uban number.