27867688676872 has 64 divisors (see below), whose sum is σ = 57568759395840. Its totient is φ = 12541214784000.

The previous prime is 27867688676837. The next prime is 27867688676879.

27867688676872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is not an unprimeable number, because it can be changed into a prime (27867688676879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309675148 + ... + 309765124.

It is an arithmetic number, because the mean of its divisors is an integer number (899511865560).

Almost surely, 2^{27867688676872} is an apocalyptic number.

27867688676872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27867688676872 is an abundant number, since it is smaller than the sum of its proper divisors (29701070718968).

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

27867688676872 is a wasteful number, since it uses less digits than its factorization.

27867688676872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124942 (or 124938 counting only the distinct ones).

The product of its digits is 50982027264, while the sum is 88.

The spelling of 27867688676872 in words is "twenty-seven trillion, eight hundred sixty-seven billion, six hundred eighty-eight million, six hundred seventy-six thousand, eight hundred seventy-two".