1680384093593 has 16 divisors (see below), whose sum is σ = 1777185755136. Its totient is φ = 1586340821520.

The previous prime is 1680384093541. The next prime is 1680384093607. The reversal of 1680384093593 is 3953904830861.

It is a cyclic number.

It is not a de Polignac number, because 1680384093593 - 2¹² = 1680384089497 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1680384033593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248180 + ... + 1849962.

It is an arithmetic number, because the mean of its divisors is an integer number (111074109696).

Almost surely, 2^{1680384093593} is an apocalyptic number.

It is an amenable number.

1680384093593 is a deficient number, since it is larger than the sum of its proper divisors (96801661543).

1680384093593 is a wasteful number, since it uses less digits than its factorization.

1680384093593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602644.

The product of its (nonzero) digits is 16796160, while the sum is 59.

The spelling of 1680384093593 in words is "one trillion, six hundred eighty billion, three hundred eighty-four million, ninety-three thousand, five hundred ninety-three".