10272638528767 has 2 divisors, whose sum is σ = 10272638528768. Its totient is φ = 10272638528766.

The previous prime is 10272638528743. The next prime is 10272638528807. The reversal of 10272638528767 is 76782583627201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10272638528767 - 2¹¹ = 10272638526719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10272638528699 and 10272638528708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10272636528767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5136319264383 + 5136319264384.

It is an arithmetic number, because the mean of its divisors is an integer number (5136319264384).

Almost surely, 2^{10272638528767} is an apocalyptic number.

10272638528767 is a deficient number, since it is larger than the sum of its proper divisors (1).

10272638528767 is an equidigital number, since it uses as much as digits as its factorization.

10272638528767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 10272638528767 in words is "ten trillion, two hundred seventy-two billion, six hundred thirty-eight million, five hundred twenty-eight thousand, seven hundred sixty-seven".