10727478730289 has 2 divisors, whose sum is σ = 10727478730290. Its totient is φ = 10727478730288.

The previous prime is 10727478730279. The next prime is 10727478730291. The reversal of 10727478730289 is 98203787472701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6659625390625 + 4067853339664 = 2580625^2 + 2016892^2 .

It is a cyclic number.

It is not a de Polignac number, because 10727478730289 - 2⁴ = 10727478730273 is a prime.

It is a Sophie Germain prime.

Together with 10727478730291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10727478730219) 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 as a sum of consecutive naturals, namely, 5363739365144 + 5363739365145.

It is an arithmetic number, because the mean of its divisors is an integer number (5363739365145).

Almost surely, 2^{10727478730289} is an apocalyptic number.

It is an amenable number.

10727478730289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10727478730289 is an equidigital number, since it uses as much as digits as its factorization.

10727478730289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66382848, while the sum is 65.

The spelling of 10727478730289 in words is "ten trillion, seven hundred twenty-seven billion, four hundred seventy-eight million, seven hundred thirty thousand, two hundred eighty-nine".