10682968129008 has 80 divisors (see below), whose sum is σ = 31543254245376. Its totient is φ = 3051980225280.

The previous prime is 10682968129007. The next prime is 10682968129091. The reversal of 10682968129008 is 80092186928601.

It is a super-2 number, since 2×10682968129008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682968129003) 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 15 ways as a sum of consecutive naturals, for example, 1933393 + ... + 5010383.

Almost surely, 2^{10682968129008} is an apocalyptic number.

It is an amenable number.

10682968129008 is an abundant number, since it is smaller than the sum of its proper divisors (20860286116368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10682968129008 is a wasteful number, since it uses less digits than its factorization.

10682968129008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087342 (or 3087336 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 10682968129008 in words is "ten trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, eight".