10724780865829 has 2 divisors, whose sum is σ = 10724780865830. Its totient is φ = 10724780865828.

The previous prime is 10724780865793. The next prime is 10724780865833. The reversal of 10724780865829 is 92856808742701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7655984633025 + 3068796232804 = 2766945^2 + 1751798^2 .

It is an emirp because it is prime and its reverse (92856808742701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10724780865829 - 2²¹ = 10724778768677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10724780865889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362390432914 + 5362390432915.

It is an arithmetic number, because the mean of its divisors is an integer number (5362390432915).

Almost surely, 2^{10724780865829} is an apocalyptic number.

It is an amenable number.

10724780865829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10724780865829 is an equidigital number, since it uses as much as digits as its factorization.

10724780865829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108380160, while the sum is 67.

The spelling of 10724780865829 in words is "ten trillion, seven hundred twenty-four billion, seven hundred eighty million, eight hundred sixty-five thousand, eight hundred twenty-nine".