10559765544960 has 136 divisors (see below), whose sum is σ = 33790995082800. Its totient is φ = 2815937216512.

The previous prime is 10559765544919. The next prime is 10559765545079. The reversal of 10559765544960 is 6944556795501.

It is a super-2 number, since 2×10559765544960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10559765544891 and 10559765544900.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4387935 + ... + 6354014.

Almost surely, 2^{10559765544960} is an apocalyptic number.

10559765544960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10559765544960 is an abundant number, since it is smaller than the sum of its proper divisors (23231229537840).

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

10559765544960 is an frugal number, since it uses more digits than its factorization.

10559765544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741989 (or 10741959 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 66.

The spelling of 10559765544960 in words is "ten trillion, five hundred fifty-nine billion, seven hundred sixty-five million, five hundred forty-four thousand, nine hundred sixty".