10721788589 has 2 divisors, whose sum is σ = 10721788590. Its totient is φ = 10721788588.

The previous prime is 10721788507. The next prime is 10721788601. The reversal of 10721788589 is 98588712701.

10721788589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10689492100 + 32296489 = 103390^2 + 5683^2 .

It is a cyclic number.

It is not a de Polignac number, because 10721788589 - 2¹⁶ = 10721723053 is a prime.

It is a super-2 number, since 2×10721788589² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10721788289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5360894294 + 5360894295.

It is an arithmetic number, because the mean of its divisors is an integer number (5360894295).

Almost surely, 2^10721788589 is an apocalyptic number.

It is an amenable number.

10721788589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721788589 is an equidigital number, since it uses as much as digits as its factorization.

10721788589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 56.

The spelling of 10721788589 in words is "ten billion, seven hundred twenty-one million, seven hundred eighty-eight thousand, five hundred eighty-nine".