19980001982016 has 560 divisors, whose sum is σ = 62527456792944. Its totient is φ = 6301111025664.

The previous prime is 19980001981957. The next prime is 19980001982021. The reversal of 19980001982016 is 61028910008991.

It can be written as a sum of positive squares in 8 ways, for example, as 352408449600 + 19627593532416 = 593640^2 + 4430304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1148729416 + ... + 1148746808.

Almost surely, 2^{19980001982016} is an apocalyptic number.

19980001982016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19980001982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263728396472).

19980001982016 is an abundant number, since it is smaller than the sum of its proper divisors (42547454810928).

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

19980001982016 is a wasteful number, since it uses less digits than its factorization.

19980001982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17620 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 19980001982016 in words is "nineteen trillion, nine hundred eighty billion, one million, nine hundred eighty-two thousand, sixteen".