82108208864 has 96 divisors (see below), whose sum is σ = 181950935040. Its totient is φ = 36153561600.

The previous prime is 82108208837. The next prime is 82108208887. The reversal of 82108208864 is 46880280128.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445969 + ... + 1501679.

It is an arithmetic number, because the mean of its divisors is an integer number (1895322240).

Almost surely, 2^82108208864 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 82108208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90975467520).

82108208864 is an abundant number, since it is smaller than the sum of its proper divisors (99842726176).

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

82108208864 is a wasteful number, since it uses less digits than its factorization.

82108208864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55864 (or 55856 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 82108208864 in words is "eighty-two billion, one hundred eight million, two hundred eight thousand, eight hundred sixty-four".