8000488404800 has 84 divisors (see below), whose sum is σ = 19691949702636. Its totient is φ = 3199260979200.

The previous prime is 8000488404749. The next prime is 8000488404841. The reversal of 8000488404800 is 84048840008.

It can be written as a sum of positive squares in 6 ways, for example, as 1120904977984 + 6879583426816 = 1058728^2 + 2622896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764530 + ... + 6221070.

Almost surely, 2^{8000488404800} is an apocalyptic number.

8000488404800 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 8000488404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845974851318).

8000488404800 is an abundant number, since it is smaller than the sum of its proper divisors (11691461297836).

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

8000488404800 is a wasteful number, since it uses less digits than its factorization.

8000488404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459996 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 8000488404800 in words is "eight trillion, four hundred eighty-eight million, four hundred four thousand, eight hundred".