10505500560600 has 48 divisors (see below), whose sum is σ = 32567051739720. Its totient is φ = 2801466816000.

The previous prime is 10505500560589. The next prime is 10505500560601. The reversal of 10505500560600 is 606500550501.

It is a super-2 number, since 2×10505500560600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505500560601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8754583201 + ... + 8754584400.

Almost surely, 2^{10505500560600} is an apocalyptic number.

10505500560600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505500560600 is an abundant number, since it is smaller than the sum of its proper divisors (22061551179120).

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

10505500560600 is a wasteful number, since it uses less digits than its factorization.

10505500560600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17509167620 (or 17509167611 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10505500560600 in words is "ten trillion, five hundred five billion, five hundred million, five hundred sixty thousand, six hundred".