6585873947991 has 32 divisors (see below), whose sum is σ = 10605577086720. Its totient is φ = 4014968422752.

The previous prime is 6585873947957. The next prime is 6585873948013. The reversal of 6585873947991 is 1997493785856.

6585873947991 is a `hidden beast` number, since 6 + 5 + 8 + 58 + 7 + 3 + 9 + 479 + 91 = 666.

It is not a de Polignac number, because 6585873947991 - 2¹⁴ = 6585873931607 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6585873947991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6585873947911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87640825 + ... + 87715938.

It is an arithmetic number, because the mean of its divisors is an integer number (331424283960).

Almost surely, 2^{6585873947991} is an apocalyptic number.

6585873947991 is a deficient number, since it is larger than the sum of its proper divisors (4019703138729).

6585873947991 is a wasteful number, since it uses less digits than its factorization.

6585873947991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175356892 (or 175356886 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 81.

The spelling of 6585873947991 in words is "six trillion, five hundred eighty-five billion, eight hundred seventy-three million, nine hundred forty-seven thousand, nine hundred ninety-one".