20889944064000 has 2304 divisors, whose sum is σ = 86918397995520. Its totient is φ = 4968677376000.

The previous prime is 20889944063977. The next prime is 20889944064049. The reversal of 20889944064000 is 46044998802.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394149887974 + ... + 394149888026.

It is an arithmetic number, because the mean of its divisors is an integer number (37724999130).

Almost surely, 2^{20889944064000} is an apocalyptic number.

20889944064000 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 20889944064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43459198997760).

20889944064000 is an abundant number, since it is smaller than the sum of its proper divisors (66028453931520).

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

20889944064000 is an frugal number, since it uses more digits than its factorization.

20889944064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20889944064000 in words is "twenty trillion, eight hundred eighty-nine billion, nine hundred forty-four million, sixty-four thousand".