10682882698752 has 320 divisors, whose sum is σ = 34511312563200. Its totient is φ = 3235876208640.

The previous prime is 10682882698639. The next prime is 10682882698753. The reversal of 10682882698752 is 25789628828601.

It is a happy number.

10682882698752 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 288 + 269 + 87 + 5 + 2 = 666.

10682882698752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10682882698752² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682882698753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396721513 + ... + 396748439.

It is an arithmetic number, because the mean of its divisors is an integer number (107847851760).

Almost surely, 2^{10682882698752} is an apocalyptic number.

10682882698752 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 10682882698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255656281600).

10682882698752 is an abundant number, since it is smaller than the sum of its proper divisors (23828429864448).

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

10682882698752 is a wasteful number, since it uses less digits than its factorization.

10682882698752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29574 (or 29552 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 10682882698752 in words is "ten trillion, six hundred eighty-two billion, eight hundred eighty-two million, six hundred ninety-eight thousand, seven hundred fifty-two".