27686286674176 has 243 divisors, whose sum is σ = 61437289248993. Its totient is φ = 12446415421440.

The previous prime is 27686286674087. The next prime is 27686286674203. The reversal of 27686286674176 is 67147668268672.

The square root of 27686286674176 is 5261776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13890707896576 + 13795578777600 = 3727024^2 + 3714240^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 44872425420 + ... + 44872426036.

Almost surely, 2^{27686286674176} is an apocalyptic number.

27686286674176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27686286674176 is the 5261776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27686286674176

27686286674176 is an abundant number, since it is smaller than the sum of its proper divisors (33751002574817).

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

27686286674176 is an frugal number, since it uses more digits than its factorization.

27686286674176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 673 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 76.

The spelling of 27686286674176 in words is "twenty-seven trillion, six hundred eighty-six billion, two hundred eighty-six million, six hundred seventy-four thousand, one hundred seventy-six".