1982923810560 has 1728 divisors, whose sum is σ = 9040758644736. Its totient is φ = 389040537600.

The previous prime is 1982923810481. The next prime is 1982923810561. The reversal of 1982923810560 is 650183292891.

1982923810560 is a `hidden beast` number, since 19 + 8 + 29 + 2 + 38 + 10 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1982923810497 and 1982923810506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982923810561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1693358775 + ... + 1693359945.

It is an arithmetic number, because the mean of its divisors is an integer number (5231920512).

Almost surely, 2^{1982923810560} is an apocalyptic number.

1982923810560 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 1982923810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520379322368).

1982923810560 is an abundant number, since it is smaller than the sum of its proper divisors (7057834834176).

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

1982923810560 is a wasteful number, since it uses less digits than its factorization.

1982923810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1982923810560 in words is "one trillion, nine hundred eighty-two billion, nine hundred twenty-three million, eight hundred ten thousand, five hundred sixty".