10809208005696 has 441 divisors, whose sum is σ = 33298258775079. Its totient is φ = 3479739782400.

The previous prime is 10809208005677. The next prime is 10809208005703. The reversal of 10809208005696 is 69650080290801.

It is a happy number.

The square root of 10809208005696 is 3287736.

It is a perfect power (a square), and thus also a powerful number.

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

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 62 ways as a sum of consecutive naturals, for example, 22014680011 + ... + 22014680501.

Almost surely, 2^{10809208005696} is an apocalyptic number.

10809208005696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10809208005696 is the 3287736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10809208005696

10809208005696 is an abundant number, since it is smaller than the sum of its proper divisors (22489050769383).

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

10809208005696 is an frugal number, since it uses more digits than its factorization.

10809208005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10809208005696 in words is "ten trillion, eight hundred nine billion, two hundred eight million, five thousand, six hundred ninety-six".