13238231760000 has 2240 divisors, whose sum is σ = 56073444504000. Its totient is φ = 3083774976000.

The previous prime is 13238231759971. The next prime is 13238231760001. The reversal of 13238231760000 is 6713283231.

13238231760000 is a `hidden beast` number, since 1 + 3 + 2 + 38 + 2 + 3 + 17 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13238231760001) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 14405039541 + ... + 14405040459.

It is an arithmetic number, because the mean of its divisors is an integer number (25032787725).

Almost surely, 2^{13238231760000} is an apocalyptic number.

13238231760000 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 13238231760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28036722252000).

13238231760000 is an abundant number, since it is smaller than the sum of its proper divisors (42835212744000).

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

13238231760000 is an frugal number, since it uses more digits than its factorization.

13238231760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13238231760000 in words is "thirteen trillion, two hundred thirty-eight billion, two hundred thirty-one million, seven hundred sixty thousand".