10682968129007 has 2 divisors, whose sum is σ = 10682968129008. Its totient is φ = 10682968129006.

The previous prime is 10682968129003. The next prime is 10682968129091. The reversal of 10682968129007 is 70092186928601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10682968129007 - 2² = 10682968129003 is a prime.

It is a super-2 number, since 2×10682968129007² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10682968129003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5341484064503 + 5341484064504.

It is an arithmetic number, because the mean of its divisors is an integer number (5341484064504).

Almost surely, 2^{10682968129007} is an apocalyptic number.

10682968129007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10682968129007 is an equidigital number, since it uses as much as digits as its factorization.

10682968129007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 59.

The spelling of 10682968129007 in words is "ten trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, seven".