21671761267167 has 32 divisors (see below), whose sum is σ = 32375095033344. Its totient is φ = 12779191152000.

The previous prime is 21671761267157. The next prime is 21671761267201. The reversal of 21671761267167 is 76176216717612.

It is not a de Polignac number, because 21671761267167 - 2⁶ = 21671761267103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21671761267167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21671761267157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90357558 + ... + 90597084.

It is an arithmetic number, because the mean of its divisors is an integer number (1011721719792).

Almost surely, 2^{21671761267167} is an apocalyptic number.

21671761267167 is a deficient number, since it is larger than the sum of its proper divisors (10703333766177).

21671761267167 is a wasteful number, since it uses less digits than its factorization.

21671761267167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313679.

The product of its digits is 12446784, while the sum is 60.

It can be divided in two parts, 2167176 and 1267167, that added together give a palindrome (3434343).

The spelling of 21671761267167 in words is "twenty-one trillion, six hundred seventy-one billion, seven hundred sixty-one million, two hundred sixty-seven thousand, one hundred sixty-seven".