1982172487680 has 1120 divisors, whose sum is σ = 8860597447680. Its totient is φ = 411826913280.

The previous prime is 1982172487679. The next prime is 1982172487697. The reversal of 1982172487680 is 867842712891.

1982172487680 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 1 + 72 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255463641 + ... + 255471399.

Almost surely, 2^{1982172487680} is an apocalyptic number.

1982172487680 is a gapful number since it is divisible by the number (10) 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 1982172487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430298723840).

1982172487680 is an abundant number, since it is smaller than the sum of its proper divisors (6878424960000).

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

1982172487680 is an equidigital number, since it uses as much as digits as its factorization.

1982172487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 1982172487680 in words is "one trillion, nine hundred eighty-two billion, one hundred seventy-two million, four hundred eighty-seven thousand, six hundred eighty".