82301368320 has 576 divisors, whose sum is σ = 305085100320. Its totient is φ = 20447232000.

The previous prime is 82301368273. The next prime is 82301368343. The reversal of 82301368320 is 2386310328.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205240120 + ... + 205240520.

Almost surely, 2^82301368320 is an apocalyptic number.

82301368320 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 82301368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152542550160).

82301368320 is an abundant number, since it is smaller than the sum of its proper divisors (222783732000).

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

82301368320 is a wasteful number, since it uses less digits than its factorization.

82301368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 82301368320 its reverse (2386310328), we get a palindrome (84687678648).

The spelling of 82301368320 in words is "eighty-two billion, three hundred one million, three hundred sixty-eight thousand, three hundred twenty".