10682382080 has 72 divisors (see below), whose sum is σ = 25605465984. Its totient is φ = 4269977600.

The previous prime is 10682382079. The next prime is 10682382091. The reversal of 10682382080 is 8028328601.

It is a super-2 number, since 2×10682382080² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3314870 + ... + 3318090.

It is an arithmetic number, because the mean of its divisors is an integer number (355631472).

Almost surely, 2^10682382080 is an apocalyptic number.

10682382080 is a gapful number since it is divisible by the number (10) 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 10682382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802732992).

10682382080 is an abundant number, since it is smaller than the sum of its proper divisors (14923083904).

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

10682382080 is an equidigital number, since it uses as much as digits as its factorization.

10682382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 10682382080 in words is "ten billion, six hundred eighty-two million, three hundred eighty-two thousand, eighty".