8095433991120 has 400 divisors, whose sum is σ = 32299833392640. Its totient is φ = 1840795435008.

The previous prime is 8095433991089. The next prime is 8095433991121. The reversal of 8095433991120 is 211993345908.

8095433991120 is a `hidden beast` number, since 8 + 0 + 9 + 5 + 433 + 99 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8095433991121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8292121 + ... + 9216839.

Almost surely, 2^{8095433991120} is an apocalyptic number.

8095433991120 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 8095433991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149916696320).

8095433991120 is an abundant number, since it is smaller than the sum of its proper divisors (24204399401520).

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

8095433991120 is a wasteful number, since it uses less digits than its factorization.

8095433991120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924944 (or 924929 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 8095433991120 in words is "eight trillion, ninety-five billion, four hundred thirty-three million, nine hundred ninety-one thousand, one hundred twenty".