19785839474880 has 896 divisors, whose sum is σ = 74323426867200. Its totient is φ = 4945581785088.

The previous prime is 19785839474861. The next prime is 19785839474939. The reversal of 19785839474880 is 8847493858791.

19785839474880 is a `hidden beast` number, since 1 + 9 + 7 + 85 + 8 + 394 + 74 + 8 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19785839474880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4663170039 + ... + 4663174281.

It is an arithmetic number, because the mean of its divisors is an integer number (82950253200).

Almost surely, 2^{19785839474880} is an apocalyptic number.

19785839474880 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 19785839474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37161713433600).

19785839474880 is an abundant number, since it is smaller than the sum of its proper divisors (54537587392320).

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

19785839474880 is a wasteful number, since it uses less digits than its factorization.

19785839474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 81.

The spelling of 19785839474880 in words is "nineteen trillion, seven hundred eighty-five billion, eight hundred thirty-nine million, four hundred seventy-four thousand, eight hundred eighty".