10646566560 has 192 divisors, whose sum is σ = 42586387200. Its totient is φ = 2433494016.

The previous prime is 10646566559. The next prime is 10646566603. The reversal of 10646566560 is 6566564601.

10646566560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646566560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 145795 + ... + 206274.

It is an arithmetic number, because the mean of its divisors is an integer number (221804100).

Almost surely, 2^10646566560 is an apocalyptic number.

10646566560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10646566560 is an abundant number, since it is smaller than the sum of its proper divisors (31939820640).

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

10646566560 is a wasteful number, since it uses less digits than its factorization.

10646566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352100 (or 352086 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 10646566560 in words is "ten billion, six hundred forty-six million, five hundred sixty-six thousand, five hundred sixty".