8095945966080 has 640 divisors, whose sum is σ = 29921032931328. Its totient is φ = 1829237686272.

The previous prime is 8095945966063. The next prime is 8095945966109. The reversal of 8095945966080 is 806695495908.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 8095945965996 and 8095945966014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691233447 + ... + 1691238233.

Almost surely, 2^{8095945966080} is an apocalyptic number.

8095945966080 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 8095945966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960516465664).

8095945966080 is an abundant number, since it is smaller than the sum of its proper divisors (21825086965248).

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

8095945966080 is a wasteful number, since it uses less digits than its factorization.

8095945966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 69.

The spelling of 8095945966080 in words is "eight trillion, ninety-five billion, nine hundred forty-five million, nine hundred sixty-six thousand, eighty".