27688045338171 has 32 divisors (see below), whose sum is σ = 41506262853120. Its totient is φ = 18240343018272.

The previous prime is 27688045338169. The next prime is 27688045338199. The reversal of 27688045338171 is 17183354088672.

It is a happy number.

27688045338171 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 8 + 0 + 453 + 3 + 8 + 171 = 666.

It is not a de Polignac number, because 27688045338171 - 2¹ = 27688045338169 is a prime.

It is a super-2 number, since 2×27688045338171² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27688045338099 and 27688045338108.

It is not an unprimeable number, because it can be changed into a prime (27688045338671) 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, 9360960 + ... + 11958413.

It is an arithmetic number, because the mean of its divisors is an integer number (1297070714160).

Almost surely, 2^{27688045338171} is an apocalyptic number.

27688045338171 is a deficient number, since it is larger than the sum of its proper divisors (13818217514949).

27688045338171 is a wasteful number, since it uses less digits than its factorization.

27688045338171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319952 (or 21319946 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 27688045338171 in words is "twenty-seven trillion, six hundred eighty-eight billion, forty-five million, three hundred thirty-eight thousand, one hundred seventy-one".