83000000000000 has 338 divisors, whose sum is σ = 209974365062364. Its totient is φ = 32800000000000.

The previous prime is 82999999999927. The next prime is 83000000000011. The reversal of 83000000000000 is 38.

83000000000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82999999999891 and 82999999999900.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 999999999959 + ... + 1000000000041.

Almost surely, 2^{83000000000000} is an apocalyptic number.

83000000000000 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 83000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104987182531182).

83000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (126974365062364).

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

83000000000000 is an frugal number, since it uses more digits than its factorization.

83000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 83000000000000 its reverse (38), we get a palindrome (83000000000038).

The spelling of 83000000000000 in words is "eighty-three trillion", and thus it is an aban number and an uban number.