1680399114752 has 90 divisors (see below), whose sum is σ = 3418908795159. Its totient is φ = 825108259840.

The previous prime is 1680399114739. The next prime is 1680399114763. The reversal of 1680399114752 is 2574119930861.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 840199557376 + 840199557376 = 916624^2 + 916624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=916624.

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 8 ways as a sum of consecutive naturals, for example, 1730585627 + ... + 1730586597.

It is a 1-persistent number, because it is pandigital, but 2⋅1680399114752 = 3360798229504 is not.

Almost surely, 2^{1680399114752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680399114752

1680399114752 is an abundant number, since it is smaller than the sum of its proper divisors (1738509680407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1680399114752 is an frugal number, since it uses more digits than its factorization.

1680399114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 1680399114752 in words is "one trillion, six hundred eighty billion, three hundred ninety-nine million, one hundred fourteen thousand, seven hundred fifty-two".