82168711680 has 320 divisors, whose sum is σ = 287491742208. Its totient is φ = 19855196160.

The previous prime is 82168711661. The next prime is 82168711687. The reversal of 82168711680 is 8611786128.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (82168711687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29313159 + ... + 29315961.

Almost surely, 2^82168711680 is an apocalyptic number.

82168711680 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 82168711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143745871104).

82168711680 is an abundant number, since it is smaller than the sum of its proper divisors (205323030528).

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

82168711680 is a wasteful number, since it uses less digits than its factorization.

82168711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 82168711680 in words is "eighty-two billion, one hundred sixty-eight million, seven hundred eleven thousand, six hundred eighty".