11006640112160 has 192 divisors, whose sum is σ = 32969044362240. Its totient is φ = 3372494392320.

The previous prime is 11006640112159. The next prime is 11006640112207. The reversal of 11006640112160 is 6121104660011.

It is a happy number.

It is a super-2 number, since 2×11006640112160² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6844274 + ... + 8298033.

It is an arithmetic number, because the mean of its divisors is an integer number (171713772720).

Almost surely, 2^{11006640112160} is an apocalyptic number.

11006640112160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006640112160 is an abundant number, since it is smaller than the sum of its proper divisors (21962404250080).

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

11006640112160 is a wasteful number, since it uses less digits than its factorization.

11006640112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142399 (or 15142391 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 11006640112160 its reverse (6121104660011), we get a palindrome (17127744772171).

The spelling of 11006640112160 in words is "eleven trillion, six billion, six hundred forty million, one hundred twelve thousand, one hundred sixty".