1982759432192 has 416 divisors, whose sum is σ = 5341737715200. Its totient is φ = 726965944320.

The previous prime is 1982759432179. The next prime is 1982759432221. The reversal of 1982759432192 is 2912349572891.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 262717763 + ... + 262725309.

Almost surely, 2^{1982759432192} 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 1982759432192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670868857600).

1982759432192 is an abundant number, since it is smaller than the sum of its proper divisors (3358978283008).

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

1982759432192 is an equidigital number, since it uses as much as digits as its factorization.

1982759432192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7584 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 62.

The spelling of 1982759432192 in words is "one trillion, nine hundred eighty-two billion, seven hundred fifty-nine million, four hundred thirty-two thousand, one hundred ninety-two".