8288969941920 has 384 divisors, whose sum is σ = 26730692997120. Its totient is φ = 2158537973760.

The previous prime is 8288969941897. The next prime is 8288969941949. The reversal of 8288969941920 is 291499698828.

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 63 ways as a sum of consecutive naturals, for example, 2306975644 + ... + 2306979236.

It is an arithmetic number, because the mean of its divisors is an integer number (69611179680).

Almost surely, 2^{8288969941920} is an apocalyptic number.

8288969941920 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 8288969941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365346498560).

8288969941920 is an abundant number, since it is smaller than the sum of its proper divisors (18441723055200).

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

8288969941920 is a wasteful number, since it uses less digits than its factorization.

8288969941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 75.

The spelling of 8288969941920 in words is "eight trillion, two hundred eighty-eight billion, nine hundred sixty-nine million, nine hundred forty-one thousand, nine hundred twenty".