20844669081600 has 6048 divisors, whose sum is σ = 106573999764960. Its totient is φ = 3921433067520.

The previous prime is 20844669081589. The next prime is 20844669081611. The reversal of 20844669081600 is 618096644802.

20844669081600 is a `hidden beast` number, since 2 + 0 + 8 + 446 + 69 + 0 + 81 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20844669081589) and next prime (20844669081611).

It is a tau number, because it is divible by the number of its divisors (6048).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1097087846391 + ... + 1097087846409.

It is an arithmetic number, because the mean of its divisors is an integer number (17621362395).

Almost surely, 2^{20844669081600} is an apocalyptic number.

20844669081600 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 20844669081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53286999882480).

20844669081600 is an abundant number, since it is smaller than the sum of its proper divisors (85729330683360).

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

20844669081600 is a wasteful number, since it uses less digits than its factorization.

20844669081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

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

The spelling of 20844669081600 in words is "twenty trillion, eight hundred forty-four billion, six hundred sixty-nine million, eighty-one thousand, six hundred".