27646813849875 has 96 divisors (see below), whose sum is σ = 50657538335040. Its totient is φ = 13380438016000.

The previous prime is 27646813849861. The next prime is 27646813849933. The reversal of 27646813849875 is 57894831864672.

It is not a de Polignac number, because 27646813849875 - 2¹⁵ = 27646813817107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27646813849875.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24726931 + ... + 25820819.

It is an arithmetic number, because the mean of its divisors is an integer number (527682690990).

Almost surely, 2^{27646813849875} is an apocalyptic number.

27646813849875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27646813849875 is a deficient number, since it is larger than the sum of its proper divisors (23010724485165).

27646813849875 is a wasteful number, since it uses less digits than its factorization.

27646813849875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094486 (or 1094465 counting only the distinct ones).

The product of its digits is 3901685760, while the sum is 78.

The spelling of 27646813849875 in words is "twenty-seven trillion, six hundred forty-six billion, eight hundred thirteen million, eight hundred forty-nine thousand, eight hundred seventy-five".