20802344442880 has 2112 divisors, whose sum is σ = 70748451468288. Its totient is φ = 5693736222720.

The previous prime is 20802344442863. The next prime is 20802344442883. The reversal of 20802344442880 is 8824444320802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20802344442883) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151841930172 + ... + 151841930308.

It is an arithmetic number, because the mean of its divisors is an integer number (33498319824).

Almost surely, 2^{20802344442880} is an apocalyptic number.

20802344442880 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 20802344442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374225734144).

20802344442880 is an abundant number, since it is smaller than the sum of its proper divisors (49946107025408).

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

20802344442880 is a wasteful number, since it uses less digits than its factorization.

20802344442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 49.

The spelling of 20802344442880 in words is "twenty trillion, eight hundred two billion, three hundred forty-four million, four hundred forty-two thousand, eight hundred eighty".