82000000000000 has 364 divisors, whose sum is σ = 209987182445166. Its totient is φ = 32000000000000.

The previous prime is 81999999999997. The next prime is 82000000000003. The reversal of 82000000000000 is 28.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81999999999997) and next prime (82000000000003).

It can be written as a sum of positive squares in 13 ways, for example, as 37341681094656 + 44658318905344 = 6110784^2 + 6682688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (82000000000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1999999999980 + ... + 2000000000020.

Almost surely, 2^{82000000000000} is an apocalyptic number.

82000000000000 is a gapful number since it is divisible by the number (80) 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 82000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993591222583).

82000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (127987182445166).

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

82000000000000 is an frugal number, since it uses more digits than its factorization.

82000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 82000000000000 its reverse (28), we get a palindrome (82000000000028).

It can be divided in two parts, 8 and 2000000000000, that multiplied together give a 4-th power (16000000000000 = 2000⁴).

The spelling of 82000000000000 in words is "eighty-two trillion", and thus it is an aban number and an uban number.