10006682808761 has 4 divisors (see below), whose sum is σ = 10028389279524. Its totient is φ = 9984976338000.

The previous prime is 10006682808743. The next prime is 10006682808821. The reversal of 10006682808761 is 16780828660001.

10006682808761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6797726490025 + 3208956318736 = 2607245^2 + 1791356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006682808761 - 2¹⁸ = 10006682546617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006682808701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10853234690 + ... + 10853235611.

It is an arithmetic number, because the mean of its divisors is an integer number (2507097319881).

Almost surely, 2^{10006682808761} is an apocalyptic number.

It is an amenable number.

10006682808761 is a deficient number, since it is larger than the sum of its proper divisors (21706470763).

10006682808761 is an equidigital number, since it uses as much as digits as its factorization.

10006682808761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21706470762.

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 10006682808761 in words is "ten trillion, six billion, six hundred eighty-two million, eight hundred eight thousand, seven hundred sixty-one".