20038918618320 has 480 divisors, whose sum is σ = 75263429498880. Its totient is φ = 4308403737600.

The previous prime is 20038918618289. The next prime is 20038918618333. The reversal of 20038918618320 is 2381681983002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9827815861 + ... + 9827817899.

It is an arithmetic number, because the mean of its divisors is an integer number (156798811456).

Almost surely, 2^{20038918618320} is an apocalyptic number.

20038918618320 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 20038918618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37631714749440).

20038918618320 is an abundant number, since it is smaller than the sum of its proper divisors (55224510880560).

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

20038918618320 is a wasteful number, since it uses less digits than its factorization.

20038918618320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 20038918618320 in words is "twenty trillion, thirty-eight billion, nine hundred eighteen million, six hundred eighteen thousand, three hundred twenty".