10500055560 has 48 divisors (see below), whose sum is σ = 34125181740. Its totient is φ = 2800014720.

The previous prime is 10500055541. The next prime is 10500055567. The reversal of 10500055560 is 6555000501.

10500055560 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 0 + 55 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9657779076 + 842276484 = 98274^2 + 29022^2 .

It is a super-2 number, since 2×10500055560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500055567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14583051 + ... + 14583770.

Almost surely, 2^10500055560 is an apocalyptic number.

10500055560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500055560 is an abundant number, since it is smaller than the sum of its proper divisors (23625126180).

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

10500055560 is a wasteful number, since it uses less digits than its factorization.

10500055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166838 (or 29166831 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10500055560 in words is "ten billion, five hundred million, fifty-five thousand, five hundred sixty".