82820192000 has 864 divisors, whose sum is σ = 274809749760. Its totient is φ = 24566169600.

The previous prime is 82820191997. The next prime is 82820192027. The reversal of 82820192000 is 29102828.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 346527881 + ... + 346528119.

It is an arithmetic number, because the mean of its divisors is an integer number (318066840).

Almost surely, 2^82820192000 is an apocalyptic number.

82820192000 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 82820192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

82820192000 is an abundant number, since it is smaller than the sum of its proper divisors (191989557760).

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

82820192000 is a wasteful number, since it uses less digits than its factorization.

82820192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

Adding to 82820192000 its reverse (29102828), we get a palindrome (82849294828).

The spelling of 82820192000 in words is "eighty-two billion, eight hundred twenty million, one hundred ninety-two thousand".