71985258917 has 16 divisors (see below), whose sum is σ = 84884526720. Its totient is φ = 60182616000.

The previous prime is 71985258899. The next prime is 71985258923.

71985258917 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71985258917 - 2⁶ = 71985258853 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71985258917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71985258817) 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 15 ways as a sum of consecutive naturals, for example, 897209 + ... + 974142.

It is an arithmetic number, because the mean of its divisors is an integer number (5305282920).

Almost surely, 2^71985258917 is an apocalyptic number.

It is an amenable number.

71985258917 is a deficient number, since it is larger than the sum of its proper divisors (12899267803).

71985258917 is a wasteful number, since it uses less digits than its factorization.

71985258917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871644.

The product of its digits is 12700800, while the sum is 62.

The spelling of 71985258917 in words is "seventy-one billion, nine hundred eighty-five million, two hundred fifty-eight thousand, nine hundred seventeen".