1983988282752 has 192 divisors, whose sum is σ = 6647832790560. Its totient is φ = 556158320640.

The previous prime is 1983988282741. The next prime is 1983988282777. The reversal of 1983988282752 is 2572828893891.

1983988282752 is a `hidden beast` number, since 1 + 98 + 398 + 8 + 2 + 82 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1893649 + ... + 2748432.

Almost surely, 2^{1983988282752} is an apocalyptic number.

1983988282752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1983988282752 is an abundant number, since it is smaller than the sum of its proper divisors (4663844507808).

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

1983988282752 is a wasteful number, since it uses less digits than its factorization.

1983988282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642161 (or 4642146 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 1983988282752 in words is "one trillion, nine hundred eighty-three billion, nine hundred eighty-eight million, two hundred eighty-two thousand, seven hundred fifty-two".