82548982320 has 320 divisors, whose sum is σ = 308551680000. Its totient is φ = 17834646528.

The previous prime is 82548982319. The next prime is 82548982331. The reversal of 82548982320 is 2328984528.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15286981 + ... + 15292379.

It is an arithmetic number, because the mean of its divisors is an integer number (964224000).

Almost surely, 2^82548982320 is an apocalyptic number.

82548982320 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 82548982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840000).

82548982320 is an abundant number, since it is smaller than the sum of its proper divisors (226002697680).

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

82548982320 is a wasteful number, since it uses less digits than its factorization.

82548982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 82548982320 in words is "eighty-two billion, five hundred forty-eight million, nine hundred eighty-two thousand, three hundred twenty".