20944459008000 has 960 divisors, whose sum is σ = 85172879151360. Its totient is φ = 5077389312000.

The previous prime is 20944459007987. The next prime is 20944459008013. The reversal of 20944459008000 is 80095444902.

It is an interprime number because it is at equal distance from previous prime (20944459007987) and next prime (20944459008013).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228050089 + ... + 228141911.

It is an arithmetic number, because the mean of its divisors is an integer number (88721749116).

Almost surely, 2^{20944459008000} is an apocalyptic number.

20944459008000 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 20944459008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586439575680).

20944459008000 is an abundant number, since it is smaller than the sum of its proper divisors (64228420143360).

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

20944459008000 is an equidigital number, since it uses as much as digits as its factorization.

20944459008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91883 (or 91844 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20944459008000 in words is "twenty trillion, nine hundred forty-four billion, four hundred fifty-nine million, eight thousand".