10882966735 has 32 divisors (see below), whose sum is σ = 13793379840. Its totient is φ = 8230430208.

The previous prime is 10882966729. The next prime is 10882966777. The reversal of 10882966735 is 53766928801.

10882966735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10882966735 - 2¹⁹ = 10882442447 is a prime.

It is a congruent number.

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, 4663629 + ... + 4665961.

It is an arithmetic number, because the mean of its divisors is an integer number (431043120).

Almost surely, 2^10882966735 is an apocalyptic number.

10882966735 is a deficient number, since it is larger than the sum of its proper divisors (2910413105).

10882966735 is a wasteful number, since it uses less digits than its factorization.

10882966735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027.

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 10882966735 in words is "ten billion, eight hundred eighty-two million, nine hundred sixty-six thousand, seven hundred thirty-five".