10682968129092 has 288 divisors, whose sum is σ = 33657210961920. Its totient is φ = 2791277556480.

The previous prime is 10682968129091. The next prime is 10682968129151. The reversal of 10682968129092 is 29092186928601.

10682968129092 is a `hidden beast` number, since 106 + 82 + 9 + 6 + 81 + 290 + 92 = 666.

It is a super-2 number, since 2×10682968129092² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10682968129091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10146103 + ... + 11149409.

It is an arithmetic number, because the mean of its divisors is an integer number (116865315840).

Almost surely, 2^{10682968129092} is an apocalyptic number.

10682968129092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682968129092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828605480960).

10682968129092 is an abundant number, since it is smaller than the sum of its proper divisors (22974242832828).

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

10682968129092 is a wasteful number, since it uses less digits than its factorization.

10682968129092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003431 (or 1003426 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 10682968129092 in words is "ten trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, ninety-two".