82371284008320 has 768 divisors, whose sum is σ = 283797452736000. Its totient is φ = 20265172992000.

The previous prime is 82371284008319. The next prime is 82371284008331. The reversal of 82371284008320 is 2380048217328.

It is a super-3 number, since 3×82371284008320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82371284008320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51449895520 + ... + 51449897120.

It is an arithmetic number, because the mean of its divisors is an integer number (369527933250).

Almost surely, 2^{82371284008320} is an apocalyptic number.

82371284008320 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 82371284008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141898726368000).

82371284008320 is an abundant number, since it is smaller than the sum of its proper divisors (201426168727680).

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

82371284008320 is a wasteful number, since it uses less digits than its factorization.

82371284008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 82371284008320 in words is "eighty-two trillion, three hundred seventy-one billion, two hundred eighty-four million, eight thousand, three hundred twenty".