10956575672891 has 2 divisors, whose sum is σ = 10956575672892. Its totient is φ = 10956575672890.

The previous prime is 10956575672879. The next prime is 10956575672897. The reversal of 10956575672891 is 19827657565901.

It is a strong prime.

It is an emirp because it is prime and its reverse (19827657565901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10956575672891 - 2⁴² = 6558529161787 is a prime.

It is not a weakly prime, because it can be changed into another prime (10956575672897) 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, 5478287836445 + 5478287836446.

It is an arithmetic number, because the mean of its divisors is an integer number (5478287836446).

Almost surely, 2^{10956575672891} is an apocalyptic number.

10956575672891 is a deficient number, since it is larger than the sum of its proper divisors (1).

10956575672891 is an equidigital number, since it uses as much as digits as its factorization.

10956575672891 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768000, while the sum is 71.

The spelling of 10956575672891 in words is "ten trillion, nine hundred fifty-six billion, five hundred seventy-five million, six hundred seventy-two thousand, eight hundred ninety-one".