20329421721856 has 243 divisors, whose sum is σ = 44895528926829. Its totient is φ = 9183267864576.

The previous prime is 20329421721841. The next prime is 20329421721899. The reversal of 20329421721856 is 65812712492302.

The square root of 20329421721856 is 4508816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4000064000256 + 16329357721600 = 2000016^2 + 4040960^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 26 ways as a sum of consecutive naturals, for example, 49705187380 + ... + 49705187788.

It is a 1-persistent number, because it is pandigital, but 2⋅20329421721856 = 40658843443712 is not.

Almost surely, 2^{20329421721856} is an apocalyptic number.

20329421721856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20329421721856 is the 4508816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20329421721856

20329421721856 is an abundant number, since it is smaller than the sum of its proper divisors (24566107204973).

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

20329421721856 is an frugal number, since it uses more digits than its factorization.

20329421721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 20329421721856 in words is "twenty trillion, three hundred twenty-nine billion, four hundred twenty-one million, seven hundred twenty-one thousand, eight hundred fifty-six".