86541866087665 has 16 divisors (see below), whose sum is σ = 107432657974800. Its totient is φ = 66845274909952.

The previous prime is 86541866087659. The next prime is 86541866087681. The reversal of 86541866087665 is 56678066814568.

It can be written as a sum of positive squares in 8 ways, for example, as 17769327375424 + 68772538712241 = 4215368^2 + 8292921^2 .

It is a cyclic number.

It is not a de Polignac number, because 86541866087665 - 2³ = 86541866087657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86541866087591 and 86541866087600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7656891 + ... + 15222079.

It is an arithmetic number, because the mean of its divisors is an integer number (6714541123425).

Almost surely, 2^{86541866087665} is an apocalyptic number.

It is an amenable number.

86541866087665 is a deficient number, since it is larger than the sum of its proper divisors (20890791887135).

86541866087665 is a wasteful number, since it uses less digits than its factorization.

86541866087665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644116.

The product of its (nonzero) digits is 2786918400, while the sum is 76.

The spelling of 86541866087665 in words is "eighty-six trillion, five hundred forty-one billion, eight hundred sixty-six million, eighty-seven thousand, six hundred sixty-five".