82188878304 has 96 divisors (see below), whose sum is σ = 233181396000. Its totient is φ = 25197484032.

The previous prime is 82188878269. The next prime is 82188878347. The reversal of 82188878304 is 40387888128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) 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, 226822 + ... + 464570.

It is an arithmetic number, because the mean of its divisors is an integer number (2428972875).

Almost surely, 2^82188878304 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 82188878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116590698000).

82188878304 is an abundant number, since it is smaller than the sum of its proper divisors (150992517696).

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

82188878304 is a wasteful number, since it uses less digits than its factorization.

82188878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238052 (or 238044 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 82188878304 in words is "eighty-two billion, one hundred eighty-eight million, eight hundred seventy-eight thousand, three hundred four".