1982589161616 has 640 divisors, whose sum is σ = 6896130048000. Its totient is φ = 533380184064.

The previous prime is 1982589161591. The next prime is 1982589161617. The reversal of 1982589161616 is 6161619852891.

1982589161616 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 5 + 8 + 9 + 1 + 6 + 1 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1982589161617) 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 127 ways as a sum of consecutive naturals, for example, 831970761 + ... + 831973143.

It is an arithmetic number, because the mean of its divisors is an integer number (10775203200).

Almost surely, 2^{1982589161616} is an apocalyptic number.

1982589161616 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 1982589161616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448065024000).

1982589161616 is an abundant number, since it is smaller than the sum of its proper divisors (4913540886384).

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

1982589161616 is a wasteful number, since it uses less digits than its factorization.

1982589161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2656 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 63.

The spelling of 1982589161616 in words is "one trillion, nine hundred eighty-two billion, five hundred eighty-nine million, one hundred sixty-one thousand, six hundred sixteen".