8145856588800 has 396 divisors, whose sum is σ = 31318001743560. Its totient is φ = 1861909217280.

The previous prime is 8145856588799. The next prime is 8145856588817. The reversal of 8145856588800 is 88856585418.

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 35 ways as a sum of consecutive naturals, for example, 2680896 + ... + 4845504.

Almost surely, 2^{8145856588800} is an apocalyptic number.

8145856588800 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 8145856588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659000871780).

8145856588800 is an abundant number, since it is smaller than the sum of its proper divisors (23172145154760).

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

8145856588800 is a wasteful number, since it uses less digits than its factorization.

8145856588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164656 (or 2164626 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 66.

The spelling of 8145856588800 in words is "eight trillion, one hundred forty-five billion, eight hundred fifty-six million, five hundred eighty-eight thousand, eight hundred".