11067040000000 has 288 divisors, whose sum is σ = 27766348351560. Its totient is φ = 4409984000000.

The previous prime is 11067039999971. The next prime is 11067040000021. The reversal of 11067040000000 is 4076011.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 6675567698944 + 4391472301056 = 2583712^2 + 2095584^2 .

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 23 ways as a sum of consecutive naturals, for example, 42079999869 + ... + 42080000131.

Almost surely, 2^{11067040000000} is an apocalyptic number.

11067040000000 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 11067040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883174175780).

11067040000000 is an abundant number, since it is smaller than the sum of its proper divisors (16699308351560).

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

11067040000000 is an frugal number, since it uses more digits than its factorization.

11067040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 11067040000000 its reverse (4076011), we get a palindrome (11067044076011).

The spelling of 11067040000000 in words is "eleven trillion, sixty-seven billion, forty million", and thus it is an aban number and an uban number.