18338537725920 has 480 divisors, whose sum is σ = 65100940803360. Its totient is φ = 4881635942400.

The previous prime is 18338537725903. The next prime is 18338537725927. The reversal of 18338537725920 is 2952773583381.

18338537725920 is a `hidden beast` number, since 1 + 8 + 3 + 3 + 8 + 5 + 37 + 7 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18338537725927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1892712436 + ... + 1892722124.

It is an arithmetic number, because the mean of its divisors is an integer number (135626960007).

Almost surely, 2^{18338537725920} is an apocalyptic number.

18338537725920 is a gapful number since it is divisible by the number (10) 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 18338537725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550470401680).

18338537725920 is an abundant number, since it is smaller than the sum of its proper divisors (46762403077440).

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

18338537725920 is an frugal number, since it uses more digits than its factorization.

18338537725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 18338537725920 in words is "eighteen trillion, three hundred thirty-eight billion, five hundred thirty-seven million, seven hundred twenty-five thousand, nine hundred twenty".