11000011000000 has 392 divisors, whose sum is σ = 30063015500976. Its totient is φ = 3960000000000.

The previous prime is 11000010999917. The next prime is 11000011000039. The reversal of 11000011000000 is 11000011.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1110995050 + ... + 1111004950.

Almost surely, 2^{11000011000000} is an apocalyptic number.

11000011000000 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 11000011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031507750488).

11000011000000 is an abundant number, since it is smaller than the sum of its proper divisors (19063004500976).

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

11000011000000 is an frugal number, since it uses more digits than its factorization.

11000011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10020 counting only the distinct ones).

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

Adding to 11000011000000 its reverse (11000011), we get a palindrome (11000022000011).

11000011000000 divided by its reverse (11000011) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 110000 and 11000000, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 11000011000000 in words is "eleven trillion, eleven million", and thus it is an aban number and an uban number.