10806563225600 has 180 divisors, whose sum is σ = 26811051982848. Its totient is φ = 4320755712000.

The previous prime is 10806563225569. The next prime is 10806563225639. The reversal of 10806563225600 is 652236560801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1319317505 + ... + 1319325695.

Almost surely, 2^{10806563225600} is an apocalyptic number.

10806563225600 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 10806563225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405525991424).

10806563225600 is an abundant number, since it is smaller than the sum of its proper divisors (16004488757248).

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

10806563225600 is an frugal number, since it uses more digits than its factorization.

10806563225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 10806563225600 in words is "ten trillion, eight hundred six billion, five hundred sixty-three million, two hundred twenty-five thousand, six hundred".