10681735679 has 8 divisors (see below), whose sum is σ = 10744475760. Its totient is φ = 10619030016.

The previous prime is 10681735661. The next prime is 10681735709. The reversal of 10681735679 is 97653718601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10681735679 - 2²⁸ = 10413300223 is a prime.

It is a super-2 number, since 2×10681735679² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10681735679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681735079) 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 7 ways as a sum of consecutive naturals, for example, 876959 + ... + 889055.

It is an arithmetic number, because the mean of its divisors is an integer number (1343059470).

Almost surely, 2^10681735679 is an apocalyptic number.

10681735679 is a deficient number, since it is larger than the sum of its proper divisors (62740081).

10681735679 is a wasteful number, since it uses less digits than its factorization.

10681735679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17209.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 10681735679 in words is "ten billion, six hundred eighty-one million, seven hundred thirty-five thousand, six hundred seventy-nine".