8008607111680 has 320 divisors, whose sum is σ = 23130152432640. Its totient is φ = 2601094938624.

The previous prime is 8008607111629. The next prime is 8008607111737. The reversal of 8008607111680 is 861117068008.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 8008607111680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27397657 + ... + 27688423.

It is an arithmetic number, because the mean of its divisors is an integer number (72281726352).

Almost surely, 2^{8008607111680} is an apocalyptic number.

8008607111680 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 8008607111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565076216320).

8008607111680 is an abundant number, since it is smaller than the sum of its proper divisors (15121545320960).

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

8008607111680 is a wasteful number, since it uses less digits than its factorization.

8008607111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290879 (or 290863 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 8008607111680 in words is "eight trillion, eight billion, six hundred seven million, one hundred eleven thousand, six hundred eighty".