8195665920000 has 1280 divisors, whose sum is σ = 30450920586240. Its totient is φ = 1946419200000.

The previous prime is 8195665919999. The next prime is 8195665920061. The reversal of 8195665920000 is 295665918.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24760319835 + ... + 24760320165.

It is an arithmetic number, because the mean of its divisors is an integer number (23789781708).

Almost surely, 2^{8195665920000} is an apocalyptic number.

8195665920000 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 8195665920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225460293120).

8195665920000 is an abundant number, since it is smaller than the sum of its proper divisors (22255254666240).

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

8195665920000 is an equidigital number, since it uses as much as digits as its factorization.

8195665920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 8195665920000 in words is "eight trillion, one hundred ninety-five billion, six hundred sixty-five million, nine hundred twenty thousand".