10806568960896 has 320 divisors, whose sum is σ = 33084377916480. Its totient is φ = 3499791777792.

The previous prime is 10806568960867. The next prime is 10806568960897. The reversal of 10806568960896 is 69806986560801.

10806568960896 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 5 + 6 + 8 + 9 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806568960897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66678616 + ... + 66840488.

It is an arithmetic number, because the mean of its divisors is an integer number (103388680989).

Almost surely, 2^{10806568960896} is an apocalyptic number.

10806568960896 is a gapful number since it is divisible by the number (16) 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 10806568960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16542188958240).

10806568960896 is an abundant number, since it is smaller than the sum of its proper divisors (22277808955584).

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

10806568960896 is a wasteful number, since it uses less digits than its factorization.

10806568960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162083 (or 162062 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 10806568960896 in words is "ten trillion, eight hundred six billion, five hundred sixty-eight million, nine hundred sixty thousand, eight hundred ninety-six".