20703986688000 has 2688 divisors, whose sum is σ = 88540924792320. Its totient is φ = 4204265472000.

The previous prime is 20703986687999. The next prime is 20703986688061. The reversal of 20703986688000 is 88668930702.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189944831946 + ... + 189944832054.

It is an arithmetic number, because the mean of its divisors is an integer number (32939332140).

Almost surely, 2^{20703986688000} is an apocalyptic number.

20703986688000 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 20703986688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44270462396160).

20703986688000 is an abundant number, since it is smaller than the sum of its proper divisors (67836938104320).

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

20703986688000 is a wasteful number, since it uses less digits than its factorization.

20703986688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 20703986688000 in words is "twenty trillion, seven hundred three billion, nine hundred eighty-six million, six hundred eighty-eight thousand".