10806565783104 has 1008 divisors, whose sum is σ = 40514223637888. Its totient is φ = 2783379013632.

The previous prime is 10806565783067. The next prime is 10806565783109. The reversal of 10806565783104 is 40138756560801.

It is a happy number.

10806565783104 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 56 + 578 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (10806565783109) 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 143 ways as a sum of consecutive naturals, for example, 1643081064 + ... + 1643087640.

Almost surely, 2^{10806565783104} is an apocalyptic number.

10806565783104 is a gapful number since it is divisible by the number (14) 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 10806565783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257111818944).

10806565783104 is an abundant number, since it is smaller than the sum of its proper divisors (29707657854784).

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

10806565783104 is an frugal number, since it uses more digits than its factorization.

10806565783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10806565783104 in words is "ten trillion, eight hundred six billion, five hundred sixty-five million, seven hundred eighty-three thousand, one hundred four".