8199095788800 has 2160 divisors, whose sum is σ = 36411712001280. Its totient is φ = 1779805716480.

The previous prime is 8199095788789. The next prime is 8199095788801. The reversal of 8199095788800 is 88875909918.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199095788801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16108242946 + ... + 16108243454.

Almost surely, 2^{8199095788800} is an apocalyptic number.

8199095788800 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 8199095788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205856000640).

8199095788800 is an abundant number, since it is smaller than the sum of its proper divisors (28212616212480).

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

8199095788800 is a wasteful number, since it uses less digits than its factorization.

8199095788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 72.

The spelling of 8199095788800 in words is "eight trillion, one hundred ninety-nine billion, ninety-five million, seven hundred eighty-eight thousand, eight hundred".