10085175177689 has 8 divisors (see below), whose sum is σ = 10113701893920. Its totient is φ = 10056658550400.

The previous prime is 10085175177557. The next prime is 10085175177757. The reversal of 10085175177689 is 98677157158001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10085175177689 - 2¹⁶ = 10085175112153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10085175176689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 517907 + ... + 4520904.

It is an arithmetic number, because the mean of its divisors is an integer number (1264212736740).

Almost surely, 2^{10085175177689} is an apocalyptic number.

It is an amenable number.

10085175177689 is a deficient number, since it is larger than the sum of its proper divisors (28526716231).

10085175177689 is an equidigital number, since it uses as much as digits as its factorization.

10085175177689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044471.

The product of its (nonzero) digits is 29635200, while the sum is 65.

The spelling of 10085175177689 in words is "ten trillion, eighty-five billion, one hundred seventy-five million, one hundred seventy-seven thousand, six hundred eighty-nine".