8082717788288 has 128 divisors (see below), whose sum is σ = 18920770948800. Its totient is φ = 3390741319680.

The previous prime is 8082717788237. The next prime is 8082717788317. The reversal of 8082717788288 is 8828877172808.

It is a tau number, because it is divible by the number of its divisors (128).

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, 110318195 + ... + 110391437.

Almost surely, 2^{8082717788288} is an apocalyptic number.

8082717788288 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 8082717788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460385474400).

8082717788288 is an abundant number, since it is smaller than the sum of its proper divisors (10838053160512).

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

8082717788288 is a wasteful number, since it uses less digits than its factorization.

8082717788288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79310 (or 79298 counting only the distinct ones).

The product of its (nonzero) digits is 359661568, while the sum is 74.

The spelling of 8082717788288 in words is "eight trillion, eighty-two billion, seven hundred seventeen million, seven hundred eighty-eight thousand, two hundred eighty-eight".