8006956591104 has 288 divisors, whose sum is σ = 23768197558560. Its totient is φ = 2594924494848.

The previous prime is 8006956591103. The next prime is 8006956591133. The reversal of 8006956591104 is 4011956596008.

8006956591104 is a `hidden beast` number, since 8 + 0 + 0 + 69 + 565 + 9 + 1 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8006956591104² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8006956591103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136863807 + ... + 1136870849.

It is an arithmetic number, because the mean of its divisors is an integer number (82528463745).

Almost surely, 2^{8006956591104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006956591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11884098779280).

8006956591104 is an abundant number, since it is smaller than the sum of its proper divisors (15761240967456).

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

8006956591104 is a wasteful number, since it uses less digits than its factorization.

8006956591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 8006956591104 in words is "eight trillion, six billion, nine hundred fifty-six million, five hundred ninety-one thousand, one hundred four".