27867666676872 has 128 divisors (see below), whose sum is σ = 78060240783360. Its totient is φ = 8216154673920.

The previous prime is 27867666676769. The next prime is 27867666676907.

27867666676872 is nontrivially palindromic in base 10.

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, 299274273 + ... + 299367375.

It is an arithmetic number, because the mean of its divisors is an integer number (609845631120).

Almost surely, 2^{27867666676872} is an apocalyptic number.

27867666676872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27867666676872 is an abundant number, since it is smaller than the sum of its proper divisors (50192574106488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27867666676872 is a wasteful number, since it uses less digits than its factorization.

27867666676872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123803 (or 123799 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 84.

The spelling of 27867666676872 in words is "twenty-seven trillion, eight hundred sixty-seven billion, six hundred sixty-six million, six hundred seventy-six thousand, eight hundred seventy-two".