10724185264879 has 2 divisors, whose sum is σ = 10724185264880. Its totient is φ = 10724185264878.

The previous prime is 10724185264801. The next prime is 10724185264913. The reversal of 10724185264879 is 97846258142701.

10724185264879 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 is an emirp because it is prime and its reverse (97846258142701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10724185264879 - 2¹¹ = 10724185262831 is a prime.

It is a super-3 number, since 3×10724185264879³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10724185264879.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10724185264279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362092632439 + 5362092632440.

It is an arithmetic number, because the mean of its divisors is an integer number (5362092632440).

Almost surely, 2^{10724185264879} is an apocalyptic number.

10724185264879 is a deficient number, since it is larger than the sum of its proper divisors (1).

10724185264879 is an equidigital number, since it uses as much as digits as its factorization.

10724185264879 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 10724185264879 in words is "ten trillion, seven hundred twenty-four billion, one hundred eighty-five million, two hundred sixty-four thousand, eight hundred seventy-nine".