27726200121689 has 2 divisors, whose sum is σ = 27726200121690. Its totient is φ = 27726200121688.

The previous prime is 27726200121679. The next prime is 27726200121727. The reversal of 27726200121689 is 98612100262772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25861699993600 + 1864500128089 = 5085440^2 + 1365467^2 .

It is a cyclic number.

It is not a de Polignac number, because 27726200121689 - 2²⁴ = 27726183344473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27726200121689.

It is not a weakly prime, because it can be changed into another prime (27726200121679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13863100060844 + 13863100060845.

It is an arithmetic number, because the mean of its divisors is an integer number (13863100060845).

Almost surely, 2^{27726200121689} is an apocalyptic number.

It is an amenable number.

27726200121689 is a deficient number, since it is larger than the sum of its proper divisors (1).

27726200121689 is an equidigital number, since it uses as much as digits as its factorization.

27726200121689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 27726200121689 in words is "twenty-seven trillion, seven hundred twenty-six billion, two hundred million, one hundred twenty-one thousand, six hundred eighty-nine".