10579010685859 has 48 divisors (see below), whose sum is σ = 14075193279168. Its totient is φ = 7756201728000.

The previous prime is 10579010685847. The next prime is 10579010685871. The reversal of 10579010685859 is 95858601097501.

It is an interprime number because it is at equal distance from previous prime (10579010685847) and next prime (10579010685871).

It is not a de Polignac number, because 10579010685859 - 2¹⁷ = 10579010554787 is a prime.

It is a super-2 number, since 2×10579010685859² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10579010685859.

It is not an unprimeable number, because it can be changed into a prime (10579010685359) 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 in 47 ways as a sum of consecutive naturals, for example, 49728799 + ... + 49941079.

It is an arithmetic number, because the mean of its divisors is an integer number (293233193316).

Almost surely, 2^{10579010685859} is an apocalyptic number.

10579010685859 is a deficient number, since it is larger than the sum of its proper divisors (3496182593309).

10579010685859 is a wasteful number, since it uses less digits than its factorization.

10579010685859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215788 (or 215777 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 64.

The spelling of 10579010685859 in words is "ten trillion, five hundred seventy-nine billion, ten million, six hundred eighty-five thousand, eight hundred fifty-nine".