10385669175 has 24 divisors (see below), whose sum is σ = 19623970176. Its totient is φ = 4747734240.

The previous prime is 10385669153. The next prime is 10385669179. The reversal of 10385669175 is 57196658301.

10385669175 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 10385669175 - 2⁶ = 10385669111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385669179) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9890589 + ... + 9891638.

It is an arithmetic number, because the mean of its divisors is an integer number (817665424).

Almost surely, 2^10385669175 is an apocalyptic number.

10385669175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10385669175 is a deficient number, since it is larger than the sum of its proper divisors (9238301001).

10385669175 is a wasteful number, since it uses less digits than its factorization.

10385669175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19782247 (or 19782242 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 10385669175 in words is "ten billion, three hundred eighty-five million, six hundred sixty-nine thousand, one hundred seventy-five".