1982808013680 has 480 divisors, whose sum is σ = 7458394507200. Its totient is φ = 486655672320.

The previous prime is 1982808013663. The next prime is 1982808013717. The reversal of 1982808013680 is 863108082891.

It is a super-2 number, since 2×1982808013680² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88188040 + ... + 88210520.

It is an arithmetic number, because the mean of its divisors is an integer number (15538321890).

Almost surely, 2^{1982808013680} is an apocalyptic number.

1982808013680 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 1982808013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729197253600).

1982808013680 is an abundant number, since it is smaller than the sum of its proper divisors (5475586493520).

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

1982808013680 is a wasteful number, since it uses less digits than its factorization.

1982808013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22871 (or 22853 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1982808013680 in words is "one trillion, nine hundred eighty-two billion, eight hundred eight million, thirteen thousand, six hundred eighty".