86317541127808 has 64 divisors (see below), whose sum is σ = 173897831593800. Its totient is φ = 42672622845952.

The previous prime is 86317541127793. The next prime is 86317541127817. The reversal of 86317541127808 is 80872114571368.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24555672015424 + 61761869112384 = 4955368^2 + 7858872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501127716 + ... + 501299932.

Almost surely, 2^{86317541127808} is an apocalyptic number.

It is an amenable number.

86317541127808 is an abundant number, since it is smaller than the sum of its proper divisors (87580290465992).

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

86317541127808 is a wasteful number, since it uses less digits than its factorization.

86317541127808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216317 (or 216305 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 86317541127808 in words is "eighty-six trillion, three hundred seventeen billion, five hundred forty-one million, one hundred twenty-seven thousand, eight hundred eight".