20784126828960 has 1728 divisors, whose sum is σ = 82827067010688. Its totient is φ = 4703698944000.

The previous prime is 20784126828953. The next prime is 20784126828973. The reversal of 20784126828960 is 6982862148702.

20784126828960 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 412 + 6 + 82 + 89 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73964864020 + ... + 73964864300.

It is an arithmetic number, because the mean of its divisors is an integer number (47932330446).

Almost surely, 2^{20784126828960} is an apocalyptic number.

20784126828960 is a gapful number since it is divisible by the number (20) 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 20784126828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41413533505344).

20784126828960 is an abundant number, since it is smaller than the sum of its proper divisors (62042940181728).

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

20784126828960 is a wasteful number, since it uses less digits than its factorization.

20784126828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 20784126828960 in words is "twenty trillion, seven hundred eighty-four billion, one hundred twenty-six million, eight hundred twenty-eight thousand, nine hundred sixty".