8688659166720 has 2560 divisors, whose sum is σ = 36348273561600. Its totient is φ = 1973615984640.

The previous prime is 8688659166689. The next prime is 8688659166779. The reversal of 8688659166720 is 276619568868.

It is a happy number.

8688659166720 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 6 + 591 + 6 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84355914189 + ... + 84355914291.

It is an arithmetic number, because the mean of its divisors is an integer number (14198544360).

Almost surely, 2^{8688659166720} is an apocalyptic number.

8688659166720 is a gapful number since it is divisible by the number (80) 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 8688659166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174136780800).

8688659166720 is an abundant number, since it is smaller than the sum of its proper divisors (27659614394880).

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

8688659166720 is a wasteful number, since it uses less digits than its factorization.

8688659166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 8688659166720 in words is "eight trillion, six hundred eighty-eight billion, six hundred fifty-nine million, one hundred sixty-six thousand, seven hundred twenty".