20013865984320 has 224 divisors, whose sum is σ = 68437750620288. Its totient is φ = 4926078001152.

The previous prime is 20013865984319. The next prime is 20013865984327. The reversal of 20013865984320 is 2348956831002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013865984327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165511722 + ... + 165632598.

It is an arithmetic number, because the mean of its divisors is an integer number (305525672412).

Almost surely, 2^{20013865984320} is an apocalyptic number.

20013865984320 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 20013865984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34218875310144).

20013865984320 is an abundant number, since it is smaller than the sum of its proper divisors (48423884635968).

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

20013865984320 is a wasteful number, since it uses less digits than its factorization.

20013865984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134177 (or 134167 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 20013865984320 in words is "twenty trillion, thirteen billion, eight hundred sixty-five million, nine hundred eighty-four thousand, three hundred twenty".