71865009853 has 32 divisors (see below), whose sum is σ = 89810336000. Its totient is φ = 55991678976.

The previous prime is 71865009779. The next prime is 71865009871. The reversal of 71865009853 is 35890056817.

It is a 10-Lehmer number, since φ(71865009853) divides (71865009853-1)¹⁰.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71865009853 is a prime.

It is the 268077-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 71865009853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71865009883) by changing a digit.

It is a nontrivial repunit in base 268076.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594573 + ... + 1639021.

It is an arithmetic number, because the mean of its divisors is an integer number (2806573000).

Almost surely, 2^71865009853 is an apocalyptic number.

It is an amenable number.

71865009853 is a deficient number, since it is larger than the sum of its proper divisors (17945326147).

71865009853 is a wasteful number, since it uses less digits than its factorization.

71865009853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44741.

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 71865009853 in words is "seventy-one billion, eight hundred sixty-five million, nine thousand, eight hundred fifty-three".