10509879922689 has 24 divisors (see below), whose sum is σ = 16304191822368. Its totient is φ = 6004483826880.

The previous prime is 10509879922651. The next prime is 10509879922697. The reversal of 10509879922689 is 98622997890501.

It is not a de Polignac number, because 10509879922689 - 2⁷ = 10509879922561 is a prime.

It is a super-2 number, since 2×10509879922689² (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 10509879922689.

It is not an unprimeable number, because it can be changed into a prime (10509879922639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6153012 + ... + 7673285.

It is an arithmetic number, because the mean of its divisors is an integer number (679341325932).

Almost surely, 2^{10509879922689} is an apocalyptic number.

It is an amenable number.

10509879922689 is a deficient number, since it is larger than the sum of its proper divisors (5794311899679).

10509879922689 is a wasteful number, since it uses less digits than its factorization.

10509879922689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831485 (or 13831478 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 75.

The spelling of 10509879922689 in words is "ten trillion, five hundred nine billion, eight hundred seventy-nine million, nine hundred twenty-two thousand, six hundred eighty-nine".