82823280000 has 640 divisors, whose sum is σ = 297107395200. Its totient is φ = 20367360000.

The previous prime is 82823279953. The next prime is 82823280011. The reversal of 82823280000 is 8232828.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186959779 + ... + 186960221.

It is an arithmetic number, because the mean of its divisors is an integer number (464230305).

Almost surely, 2^82823280000 is an apocalyptic number.

82823280000 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 82823280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148553697600).

82823280000 is an abundant number, since it is smaller than the sum of its proper divisors (214284115200).

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

82823280000 is a wasteful number, since it uses less digits than its factorization.

82823280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 82823280000 in words is "eighty-two billion, eight hundred twenty-three million, two hundred eighty thousand".