27968876099135 has 32 divisors (see below), whose sum is σ = 34646097427200. Its totient is φ = 21661370000640.

The previous prime is 27968876099111. The next prime is 27968876099149. The reversal of 27968876099135 is 53199067886972.

It is not a de Polignac number, because 27968876099135 - 2⁴⁰ = 26869364471359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27968876099135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56372576 + ... + 56866554.

It is an arithmetic number, because the mean of its divisors is an integer number (1082690544600).

Almost surely, 2^{27968876099135} is an apocalyptic number.

27968876099135 is a deficient number, since it is larger than the sum of its proper divisors (6677221328065).

27968876099135 is a wasteful number, since it uses less digits than its factorization.

27968876099135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496151.

The product of its (nonzero) digits is 2469035520, while the sum is 80.

The spelling of 27968876099135 in words is "twenty-seven trillion, nine hundred sixty-eight billion, eight hundred seventy-six million, ninety-nine thousand, one hundred thirty-five".