10085167675 has 24 divisors (see below), whose sum is σ = 13713979392. Its totient is φ = 7296228000.

The previous prime is 10085167619. The next prime is 10085167693. The reversal of 10085167675 is 57676158001.

It is not a de Polignac number, because 10085167675 - 2¹¹ = 10085165627 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43479 + ... + 148528.

It is an arithmetic number, because the mean of its divisors is an integer number (571415808).

Almost surely, 2^10085167675 is an apocalyptic number.

10085167675 is a deficient number, since it is larger than the sum of its proper divisors (3628811717).

10085167675 is a wasteful number, since it uses less digits than its factorization.

10085167675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192219 (or 192214 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 10085167675 in words is "ten billion, eighty-five million, one hundred sixty-seven thousand, six hundred seventy-five".