1271766105667 has 16 divisors (see below), whose sum is σ = 1346127789600. Its totient is φ = 1198152829440.

The previous prime is 1271766105653. The next prime is 1271766105671. The reversal of 1271766105667 is 7665016671721.

It is a cyclic number.

It is not a de Polignac number, because 1271766105667 - 2²³ = 1271757717059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1271766105367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8010009 + ... + 8167237.

It is an arithmetic number, because the mean of its divisors is an integer number (84132986850).

Almost surely, 2^{1271766105667} is an apocalyptic number.

1271766105667 is a deficient number, since it is larger than the sum of its proper divisors (74361683933).

1271766105667 is a wasteful number, since it uses less digits than its factorization.

1271766105667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159606.

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 1271766105667 in words is "one trillion, two hundred seventy-one billion, seven hundred sixty-six million, one hundred five thousand, six hundred sixty-seven".