82997317639680 has 320 divisors, whose sum is σ = 271969306475328. Its totient is φ = 21579631165440.

The previous prime is 82997317639673. The next prime is 82997317639693. The reversal of 82997317639680 is 8693671379928.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 82997317639596 and 82997317639605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521676624 + ... + 521835696.

Almost surely, 2^{82997317639680} is an apocalyptic number.

82997317639680 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 82997317639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135984653237664).

82997317639680 is an abundant number, since it is smaller than the sum of its proper divisors (188971988835648).

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

82997317639680 is a wasteful number, since it uses less digits than its factorization.

82997317639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160797 (or 160781 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 78.

The spelling of 82997317639680 in words is "eighty-two trillion, nine hundred ninety-seven billion, three hundred seventeen million, six hundred thirty-nine thousand, six hundred eighty".