86557667417 has 8 divisors (see below), whose sum is σ = 93730957320. Its totient is φ = 79457950080.

The previous prime is 86557667407. The next prime is 86557667419. The reversal of 86557667417 is 71476675568.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3758180416 + 82799487001 = 61304^2 + 287749^2 .

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 86557667417 - 2⁴ = 86557667401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86557667417.

It is not an unprimeable number, because it can be changed into a prime (86557667419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18390692 + ... + 18395397.

It is an arithmetic number, because the mean of its divisors is an integer number (11716369665).

Almost surely, 2^86557667417 is an apocalyptic number.

It is an amenable number.

86557667417 is a deficient number, since it is larger than the sum of its proper divisors (7173289903).

86557667417 is a wasteful number, since it uses less digits than its factorization.

86557667417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36786283.

The product of its digits is 59270400, while the sum is 62.

The spelling of 86557667417 in words is "eighty-six billion, five hundred fifty-seven million, six hundred sixty-seven thousand, four hundred seventeen".