8089281200800 has 72 divisors (see below), whose sum is σ = 19754402574816. Its totient is φ = 3234656490240.

The previous prime is 8089281200773. The next prime is 8089281200807. The reversal of 8089281200800 is 80021829808.

It is not an unprimeable number, because it can be changed into a prime (8089281200807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 805149 + ... + 4102051.

It is an arithmetic number, because the mean of its divisors is an integer number (274366702428).

Almost surely, 2^{8089281200800} is an apocalyptic number.

8089281200800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8089281200800 is an abundant number, since it is smaller than the sum of its proper divisors (11665121374016).

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

8089281200800 is a wasteful number, since it uses less digits than its factorization.

8089281200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299990 (or 3299977 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 8089281200800 in words is "eight trillion, eighty-nine billion, two hundred eighty-one million, two hundred thousand, eight hundred".