8288044817920 has 160 divisors (see below), whose sum is σ = 22716571046400. Its totient is φ = 2840883634176.

The previous prime is 8288044817837. The next prime is 8288044817933. The reversal of 8288044817920 is 297184408828.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 71962941 + ... + 72078019.

It is an arithmetic number, because the mean of its divisors is an integer number (141978569040).

Almost surely, 2^{8288044817920} is an apocalyptic number.

8288044817920 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 8288044817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358285523200).

8288044817920 is an abundant number, since it is smaller than the sum of its proper divisors (14428526228480).

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

8288044817920 is a wasteful number, since it uses less digits than its factorization.

8288044817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119128 (or 119112 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 61.

The spelling of 8288044817920 in words is "eight trillion, two hundred eighty-eight billion, forty-four million, eight hundred seventeen thousand, nine hundred twenty".