82317163111680 has 432 divisors, whose sum is σ = 316368600750720. Its totient is φ = 18166545137664.

The previous prime is 82317163111669. The next prime is 82317163111721. The reversal of 82317163111680 is 8611136171328.

82317163111680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82317163111680² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086204 + ... + 12999483.

It is an arithmetic number, because the mean of its divisors is an integer number (732334723960).

Almost surely, 2^{82317163111680} is an apocalyptic number.

82317163111680 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 82317163111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158184300375360).

82317163111680 is an abundant number, since it is smaller than the sum of its proper divisors (234051437639040).

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

82317163111680 is a wasteful number, since it uses less digits than its factorization.

82317163111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085754 (or 15085733 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 82317163111680 in words is "eighty-two trillion, three hundred seventeen billion, one hundred sixty-three million, one hundred eleven thousand, six hundred eighty".