16882765819920 has 2560 divisors, whose sum is σ = 82943011307520. Its totient is φ = 3037741056000.

The previous prime is 16882765819889. The next prime is 16882765819939. The reversal of 16882765819920 is 2991856728861.

16882765819920 is a `hidden beast` number, since 16 + 8 + 8 + 2 + 7 + 6 + 581 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 15474578575 + ... + 15474579665.

It is an arithmetic number, because the mean of its divisors is an integer number (32399613792).

Almost surely, 2^{16882765819920} is an apocalyptic number.

16882765819920 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 16882765819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41471505653760).

16882765819920 is an abundant number, since it is smaller than the sum of its proper divisors (66060245487600).

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

16882765819920 is a wasteful number, since it uses less digits than its factorization.

16882765819920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 16882765819920 in words is "sixteen trillion, eight hundred eighty-two billion, seven hundred sixty-five million, eight hundred nineteen thousand, nine hundred twenty".