86566844310257 has 8 divisors (see below), whose sum is σ = 86595553813032. Its totient is φ = 86538136950400.

The previous prime is 86566844310209. The next prime is 86566844310263. The reversal of 86566844310257 is 75201344866568.

It can be written as a sum of positive squares in 4 ways, for example, as 40668373734976 + 45898470575281 = 6377176^2 + 6774841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86566844310257 - 2¹² = 86566844306161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86566844310193 and 86566844310202.

It is not an unprimeable number, because it can be changed into a prime (86566844310277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82393157 + ... + 83437197.

It is an arithmetic number, because the mean of its divisors is an integer number (10824444226629).

Almost surely, 2^{86566844310257} is an apocalyptic number.

It is an amenable number.

86566844310257 is a deficient number, since it is larger than the sum of its proper divisors (28709502775).

86566844310257 is a wasteful number, since it uses less digits than its factorization.

86566844310257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071459.

The product of its (nonzero) digits is 232243200, while the sum is 65.

The spelling of 86566844310257 in words is "eighty-six trillion, five hundred sixty-six billion, eight hundred forty-four million, three hundred ten thousand, two hundred fifty-seven".