20368717344000 has 648 divisors, whose sum is σ = 75125596070616. Its totient is φ = 5299052544000.

The previous prime is 20368717343963. The next prime is 20368717344013. The reversal of 20368717344000 is 44371786302.

20368717344000 is a `hidden beast` number, since 2 + 0 + 36 + 8 + 7 + 173 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18613495120896 + 1755222223104 = 4314336^2 + 1324848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484106964 + ... + 484149036.

Almost surely, 2^{20368717344000} is an apocalyptic number.

20368717344000 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 20368717344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562798035308).

20368717344000 is an abundant number, since it is smaller than the sum of its proper divisors (54756878726616).

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

20368717344000 is an equidigital number, since it uses as much as digits as its factorization.

20368717344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42192 (or 42124 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20368717344000 in words is "twenty trillion, three hundred sixty-eight billion, seven hundred seventeen million, three hundred forty-four thousand".