13788315648000 has 960 divisors, whose sum is σ = 50432313531600. Its totient is φ = 3623878656000.

The previous prime is 13788315647993. The next prime is 13788315648043. The reversal of 13788315648000 is 84651388731.

It is a happy number.

13788315648000 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 3 + 156 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1100585631744 + 12687730016256 = 1049088^2 + 3561984^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×13788315648000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57212927880 + ... + 57212928120.

Almost surely, 2^{13788315648000} is an apocalyptic number.

13788315648000 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 13788315648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25216156765800).

13788315648000 is an abundant number, since it is smaller than the sum of its proper divisors (36643997883600).

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

13788315648000 is an frugal number, since it uses more digits than its factorization.

13788315648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13788315648000 in words is "thirteen trillion, seven hundred eighty-eight billion, three hundred fifteen million, six hundred forty-eight thousand".