20489344296960 has 3072 divisors, whose sum is σ = 91071198167040. Its totient is φ = 3802807664640.

The previous prime is 20489344296907. The next prime is 20489344296961. The reversal of 20489344296960 is 6969244398402.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 20489344296891 and 20489344296900.

It is not an unprimeable number, because it can be changed into a prime (20489344296961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69929502574 + ... + 69929502866.

It is an arithmetic number, because the mean of its divisors is an integer number (29645572320).

Almost surely, 2^{20489344296960} is an apocalyptic number.

20489344296960 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 20489344296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535599083520).

20489344296960 is an abundant number, since it is smaller than the sum of its proper divisors (70581853870080).

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

20489344296960 is a wasteful number, since it uses less digits than its factorization.

20489344296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 20489344296960 in words is "twenty trillion, four hundred eighty-nine billion, three hundred forty-four million, two hundred ninety-six thousand, nine hundred sixty".