1680138475817 has 8 divisors (see below), whose sum is σ = 1680891878400. Its totient is φ = 1679385242304.

The previous prime is 1680138475783. The next prime is 1680138475853. The reversal of 1680138475817 is 7185748310861.

It is a happy number.

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 1680138475817 - 2¹⁰ = 1680138474793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680138475117) 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 7 ways as a sum of consecutive naturals, for example, 22436684 + ... + 22511442.

It is an arithmetic number, because the mean of its divisors is an integer number (210111484800).

Almost surely, 2^{1680138475817} is an apocalyptic number.

It is an amenable number.

1680138475817 is a deficient number, since it is larger than the sum of its proper divisors (753402583).

1680138475817 is an equidigital number, since it uses as much as digits as its factorization.

1680138475817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84535.

The product of its (nonzero) digits is 9031680, while the sum is 59.

The spelling of 1680138475817 in words is "one trillion, six hundred eighty billion, one hundred thirty-eight million, four hundred seventy-five thousand, eight hundred seventeen".