11006640112001 has 16 divisors (see below), whose sum is σ = 12161102842368. Its totient is φ = 9908535436800.

The previous prime is 11006640111977. The next prime is 11006640112049. The reversal of 11006640112001 is 10021104660011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11006640112001 - 2²⁶ = 11006573003137 is a prime.

It is a super-2 number, since 2×11006640112001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11006640112301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15720056 + ... + 16405286.

It is an arithmetic number, because the mean of its divisors is an integer number (760068927648).

Almost surely, 2^{11006640112001} is an apocalyptic number.

It is an amenable number.

11006640112001 is a deficient number, since it is larger than the sum of its proper divisors (1154462730367).

11006640112001 is a wasteful number, since it uses less digits than its factorization.

11006640112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726352.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11006640112001 its reverse (10021104660011), we get a palindrome (21027744772012).

The spelling of 11006640112001 in words is "eleven trillion, six billion, six hundred forty million, one hundred twelve thousand, one".