10082000000000 has 330 divisors, whose sum is σ = 25552514473266. Its totient is φ = 3976000000000.

The previous prime is 10081999999987. The next prime is 10082000000003. The reversal of 10082000000000 is 28001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2661126639616 + 7420873360384 = 1631296^2 + 2724128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082000000003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 141999999965 + ... + 142000000035.

Almost surely, 2^{10082000000000} is an apocalyptic number.

10082000000000 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 10082000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776257236633).

10082000000000 is an abundant number, since it is smaller than the sum of its proper divisors (15470514473266).

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

10082000000000 is an frugal number, since it uses more digits than its factorization.

10082000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10082000000000 its reverse (28001), we get a palindrome (10082000028001).

The spelling of 10082000000000 in words is "ten trillion, eighty-two billion", and thus it is an aban number and an uban number.