1683599320128 has 448 divisors, whose sum is σ = 5085704945664. Its totient is φ = 490994380800.

The previous prime is 1683599320079. The next prime is 1683599320133. The reversal of 1683599320128 is 8210239953861.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766630500 + ... + 1766631452.

It is an arithmetic number, because the mean of its divisors is an integer number (11352019968).

Almost surely, 2^{1683599320128} 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 1683599320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542852472832).

1683599320128 is an abundant number, since it is smaller than the sum of its proper divisors (3402105625536).

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

1683599320128 is a wasteful number, since it uses less digits than its factorization.

1683599320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 1683599320128 in words is "one trillion, six hundred eighty-three billion, five hundred ninety-nine million, three hundred twenty thousand, one hundred twenty-eight".