20801172916224 has 480 divisors, whose sum is σ = 62757018324000. Its totient is φ = 6864222486528.

The previous prime is 20801172916211. The next prime is 20801172916243. The reversal of 20801172916224 is 42261927110802.

20801172916224 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 1 + 17 + 2 + 9 + 1 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20801172916224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9661481932 + ... + 9661484084.

It is an arithmetic number, because the mean of its divisors is an integer number (130743788175).

Almost surely, 2^{20801172916224} is an apocalyptic number.

20801172916224 is a gapful number since it is divisible by the number (24) 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 20801172916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31378509162000).

20801172916224 is an abundant number, since it is smaller than the sum of its proper divisors (41955845407776).

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

20801172916224 is a wasteful number, since it uses less digits than its factorization.

20801172916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20801172916224 in words is "twenty trillion, eight hundred one billion, one hundred seventy-two million, nine hundred sixteen thousand, two hundred twenty-four".