82597666320 has 480 divisors, whose sum is σ = 310788441600. Its totient is φ = 19525349376.

The previous prime is 82597666297. The next prime is 82597666337. The reversal of 82597666320 is 2366679528.

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, 27357771 + ... + 27360789.

It is an arithmetic number, because the mean of its divisors is an integer number (647475920).

Almost surely, 2^82597666320 is an apocalyptic number.

82597666320 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 82597666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155394220800).

82597666320 is an abundant number, since it is smaller than the sum of its proper divisors (228190775280).

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

82597666320 is a wasteful number, since it uses less digits than its factorization.

82597666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 82597666320 in words is "eighty-two billion, five hundred ninety-seven million, six hundred sixty-six thousand, three hundred twenty".