8191350720000 has 3200 divisors, whose sum is σ = 37994333921280. Its totient is φ = 1698693120000.

The previous prime is 8191350719999. The next prime is 8191350720011. The reversal of 8191350720000 is 270531918.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31872959872 + ... + 31872960128.

Almost surely, 2^{8191350720000} is an apocalyptic number.

8191350720000 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 8191350720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997166960640).

8191350720000 is an abundant number, since it is smaller than the sum of its proper divisors (29802983201280).

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

8191350720000 is a wasteful number, since it uses less digits than its factorization.

8191350720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 8191350720000 in words is "eight trillion, one hundred ninety-one billion, three hundred fifty million, seven hundred twenty thousand".