1983917580288 has 224 divisors, whose sum is σ = 6364069405440. Its totient is φ = 536999362560.

The previous prime is 1983917580283. The next prime is 1983917580289. The reversal of 1983917580288 is 8820857193891.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983917580283) 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 15 ways as a sum of consecutive naturals, for example, 2965128 + ... + 3572088.

Almost surely, 2^{1983917580288} 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 1983917580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182034702720).

1983917580288 is an abundant number, since it is smaller than the sum of its proper divisors (4380151825152).

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

1983917580288 is an equidigital number, since it uses as much as digits as its factorization.

1983917580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607016 (or 606992 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 69.

The spelling of 1983917580288 in words is "one trillion, nine hundred eighty-three billion, nine hundred seventeen million, five hundred eighty thousand, two hundred eighty-eight".