82891911168 has 624 divisors, whose sum is σ = 277353288576. Its totient is φ = 24524881920.

The previous prime is 82891911163. The next prime is 82891911187. The reversal of 82891911168 is 86111919828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (82891911163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733556680 + ... + 733556792.

It is an arithmetic number, because the mean of its divisors is an integer number (444476424).

Almost surely, 2^82891911168 is an apocalyptic number.

82891911168 is a gapful number since it is divisible by the number (88) 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 82891911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138676644288).

82891911168 is an abundant number, since it is smaller than the sum of its proper divisors (194461377408).

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

82891911168 is a wasteful number, since it uses less digits than its factorization.

82891911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its digits is 497664, while the sum is 54.

The spelling of 82891911168 in words is "eighty-two billion, eight hundred ninety-one million, nine hundred eleven thousand, one hundred sixty-eight".