10682968129009 has 16 divisors (see below), whose sum is σ = 11802968305920. Its totient is φ = 9587798588160.

The previous prime is 10682968129007. The next prime is 10682968129091. The reversal of 10682968129009 is 90092186928601.

It is a cyclic number.

It is not a de Polignac number, because 10682968129009 - 2¹ = 10682968129007 is a prime.

It is a super-2 number, since 2×10682968129009² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10682968129003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7267327 + ... + 8612779.

It is an arithmetic number, because the mean of its divisors is an integer number (737685519120).

Almost surely, 2^{10682968129009} is an apocalyptic number.

It is an amenable number.

10682968129009 is a deficient number, since it is larger than the sum of its proper divisors (1120000176911).

10682968129009 is a wasteful number, since it uses less digits than its factorization.

10682968129009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354680.

The product of its (nonzero) digits is 6718464, while the sum is 61.

The spelling of 10682968129009 in words is "ten trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, nine".