10681082313264 has 560 divisors, whose sum is σ = 35165024294400. Its totient is φ = 3111746803200.

The previous prime is 10681082313241. The next prime is 10681082313277. The reversal of 10681082313264 is 46231328018601.

10681082313264 is a `hidden beast` number, since 1 + 0 + 68 + 10 + 8 + 2 + 313 + 264 = 666.

It is a super-2 number, since 2×10681082313264² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 889269019 + ... + 889281029.

It is an arithmetic number, because the mean of its divisors is an integer number (62794686240).

Almost surely, 2^{10681082313264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681082313264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582512147200).

10681082313264 is an abundant number, since it is smaller than the sum of its proper divisors (24483941981136).

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

10681082313264 is a wasteful number, since it uses less digits than its factorization.

10681082313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12295 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10681082313264 in words is "ten trillion, six hundred eighty-one billion, eighty-two million, three hundred thirteen thousand, two hundred sixty-four".