11685085526565 has 36 divisors (see below), whose sum is σ = 22262824115532. Its totient is φ = 5665496010240.

The previous prime is 11685085526539. The next prime is 11685085526579. The reversal of 11685085526565 is 56562558058611.

It is a happy number.

11685085526565 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 50 + 8 + 5 + 526 + 56 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9281326761729 + 2403758764836 = 3046527^2 + 1550406^2 .

It is not a de Polignac number, because 11685085526565 - 2¹⁰ = 11685085525541 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1073005164 + ... + 1073016053.

It is an arithmetic number, because the mean of its divisors is an integer number (618411780987).

Almost surely, 2^{11685085526565} is an apocalyptic number.

11685085526565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11685085526565 is a deficient number, since it is larger than the sum of its proper divisors (10577738588967).

11685085526565 is a wasteful number, since it uses less digits than its factorization.

11685085526565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146021250 (or 2146021236 counting only the distinct ones).

The product of its (nonzero) digits is 86400000, while the sum is 63.

The spelling of 11685085526565 in words is "eleven trillion, six hundred eighty-five billion, eighty-five million, five hundred twenty-six thousand, five hundred sixty-five".