10406317088783 has 32 divisors (see below), whose sum is σ = 13251729807360. Its totient is φ = 7935346920960.

The previous prime is 10406317088773. The next prime is 10406317088821. The reversal of 10406317088783 is 38788071360401.

It is a happy number.

10406317088783 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10406317088783 - 2⁴⁰ = 9306805461007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406317088723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31061735 + ... + 31394967.

It is an arithmetic number, because the mean of its divisors is an integer number (414116556480).

Almost surely, 2^{10406317088783} is an apocalyptic number.

10406317088783 is a deficient number, since it is larger than the sum of its proper divisors (2845412718577).

10406317088783 is a wasteful number, since it uses less digits than its factorization.

10406317088783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341927.

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 10406317088783 in words is "ten trillion, four hundred six billion, three hundred seventeen million, eighty-eight thousand, seven hundred eighty-three".