11511651655566 has 48 divisors (see below), whose sum is σ = 25024995515520. Its totient is φ = 3824454432960.

The previous prime is 11511651655531. The next prime is 11511651655601. The reversal of 11511651655566 is 66555615611511.

11511651655566 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 65 + 16 + 5 + 5 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (11511651655531) and next prime (11511651655601).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6357420 + ... + 7964928.

It is an arithmetic number, because the mean of its divisors is an integer number (521354073240).

Almost surely, 2^{11511651655566} is an apocalyptic number.

11511651655566 is an abundant number, since it is smaller than the sum of its proper divisors (13513343859954).

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

11511651655566 is a wasteful number, since it uses less digits than its factorization.

11511651655566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608841 (or 1608838 counting only the distinct ones).

The product of its digits is 4050000, while the sum is 54.

The spelling of 11511651655566 in words is "eleven trillion, five hundred eleven billion, six hundred fifty-one million, six hundred fifty-five thousand, five hundred sixty-six".