10785563664 has 40 divisors (see below), whose sum is σ = 27869287680. Its totient is φ = 3594338688.

The previous prime is 10785563651. The next prime is 10785563683. The reversal of 10785563664 is 46636558701.

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, 198454 + ... + 246890.

It is an arithmetic number, because the mean of its divisors is an integer number (696732192).

Almost surely, 2^10785563664 is an apocalyptic number.

It is an amenable number.

10785563664 is an abundant number, since it is smaller than the sum of its proper divisors (17083724016).

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

10785563664 is a wasteful number, since it uses less digits than its factorization.

10785563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53087 (or 53081 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 10785563664 in words is "ten billion, seven hundred eighty-five million, five hundred sixty-three thousand, six hundred sixty-four".