10806409716900 has 144 divisors (see below), whose sum is σ = 35734469264256. Its totient is φ = 2469948410880.

The previous prime is 10806409716847. The next prime is 10806409716911. The reversal of 10806409716900 is 961790460801.

It is a happy number.

It is a super-2 number, since 2×10806409716900² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 72453202 + ... + 72602198.

Almost surely, 2^{10806409716900} is an apocalyptic number.

10806409716900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10806409716900 is an abundant number, since it is smaller than the sum of its proper divisors (24928059547356).

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

10806409716900 is a wasteful number, since it uses less digits than its factorization.

10806409716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183558 (or 183551 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10806409716900 in words is "ten trillion, eight hundred six billion, four hundred nine million, seven hundred sixteen thousand, nine hundred".