82580871168 has 576 divisors, whose sum is σ = 269162974080. Its totient is φ = 25193742336.

The previous prime is 82580871143. The next prime is 82580871187. The reversal of 82580871168 is 86117808528.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 363792271 + ... + 363792497.

It is an arithmetic number, because the mean of its divisors is an integer number (467296830).

Almost surely, 2^82580871168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82580871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134581487040).

82580871168 is an abundant number, since it is smaller than the sum of its proper divisors (186582102912).

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

82580871168 is a wasteful number, since it uses less digits than its factorization.

82580871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 82580871168 in words is "eighty-two billion, five hundred eighty million, eight hundred seventy-one thousand, one hundred sixty-eight".