10805163607040 has 176 divisors, whose sum is σ = 28303914590784. Its totient is φ = 3925281177600.

The previous prime is 10805163607027. The next prime is 10805163607057. The reversal of 10805163607040 is 4070636150801.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57408767 + ... + 57596673.

Almost surely, 2^{10805163607040} is an apocalyptic number.

10805163607040 is a gapful number since it is divisible by the number (10) 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 10805163607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151957295392).

10805163607040 is an abundant number, since it is smaller than the sum of its proper divisors (17498750983744).

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

10805163607040 is a wasteful number, since it uses less digits than its factorization.

10805163607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188964 (or 188946 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

Adding to 10805163607040 its reverse (4070636150801), we get a palindrome (14875799757841).

The spelling of 10805163607040 in words is "ten trillion, eight hundred five billion, one hundred sixty-three million, six hundred seven thousand, forty".