27288884671671 has 32 divisors (see below), whose sum is σ = 41594623787008. Its totient is φ = 15589313641440.

The previous prime is 27288884671667. The next prime is 27288884671681. The reversal of 27288884671671 is 17617648888272.

It is not a de Polignac number, because 27288884671671 - 2² = 27288884671667 is a prime.

It is a super-2 number, since 2×27288884671671² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27288884671593 and 27288884671602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27288884671621) by changing a digit.

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, 2234772756 + ... + 2234784966.

It is an arithmetic number, because the mean of its divisors is an integer number (1299831993344).

Almost surely, 2^{27288884671671} is an apocalyptic number.

27288884671671 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27288884671671 is a deficient number, since it is larger than the sum of its proper divisors (14305739115337).

27288884671671 is a wasteful number, since it uses less digits than its factorization.

27288884671671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33091.

The product of its digits is 809238528, while the sum is 75.

The spelling of 27288884671671 in words is "twenty-seven trillion, two hundred eighty-eight billion, eight hundred eighty-four million, six hundred seventy-one thousand, six hundred seventy-one".