27735939220671 has 16 divisors (see below), whose sum is σ = 44825760357120. Its totient is φ = 16809660133560.

The previous prime is 27735939220651. The next prime is 27735939220727. The reversal of 27735939220671 is 17602293953772.

27735939220671 is a `hidden beast` number, since 2 + 7 + 7 + 35 + 9 + 392 + 206 + 7 + 1 = 666.

It is not a de Polignac number, because 27735939220671 - 2¹⁰ = 27735939219647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27735939220599 and 27735939220608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27735939220651) 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, 46693500075 + ... + 46693500668.

It is an arithmetic number, because the mean of its divisors is an integer number (2801610022320).

Almost surely, 2^{27735939220671} is an apocalyptic number.

27735939220671 is a deficient number, since it is larger than the sum of its proper divisors (17089821136449).

27735939220671 is a wasteful number, since it uses less digits than its factorization.

27735939220671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93387000763 (or 93387000757 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 27735939220671 in words is "twenty-seven trillion, seven hundred thirty-five billion, nine hundred thirty-nine million, two hundred twenty thousand, six hundred seventy-one".