20328392448000 has 5184 divisors, whose sum is σ = 100334576815200. Its totient is φ = 4063327027200.

The previous prime is 20328392447963. The next prime is 20328392448011. The reversal of 20328392448000 is 84429382302.

20328392448000 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 83 + 92 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 1069915391991 + ... + 1069915392009.

Almost surely, 2^{20328392448000} is an apocalyptic number.

20328392448000 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 20328392448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50167288407600).

20328392448000 is an abundant number, since it is smaller than the sum of its proper divisors (80006184367200).

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

20328392448000 is an frugal number, since it uses more digits than its factorization.

20328392448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20328392448000 in words is "twenty trillion, three hundred twenty-eight billion, three hundred ninety-two million, four hundred forty-eight thousand".