71285899858217 has 16 divisors (see below), whose sum is σ = 77780453297472. Its totient is φ = 64793683830720.

The previous prime is 71285899858183. The next prime is 71285899858219.

71285899858217 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71285899858217 - 2³⁰ = 71284826116393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71285899858219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492761163 + ... + 2492789759.

It is an arithmetic number, because the mean of its divisors is an integer number (4861278331092).

Almost surely, 2^{71285899858217} is an apocalyptic number.

It is an amenable number.

71285899858217 is a deficient number, since it is larger than the sum of its proper divisors (6494553439255).

71285899858217 is a wasteful number, since it uses less digits than its factorization.

71285899858217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61528.

The product of its digits is 1625702400, while the sum is 80.

The spelling of 71285899858217 in words is "seventy-one trillion, two hundred eighty-five billion, eight hundred ninety-nine million, eight hundred fifty-eight thousand, two hundred seventeen".