12938386728960 has 1536 divisors, whose sum is σ = 58427570073600. Its totient is φ = 2637539573760.

The previous prime is 12938386728833. The next prime is 12938386728973. The reversal of 12938386728960 is 6982768383921.

12938386728960 is a `hidden beast` number, since 1 + 2 + 93 + 8 + 386 + 72 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×12938386728960² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1128309147 + ... + 1128320613.

It is an arithmetic number, because the mean of its divisors is an integer number (38038782600).

Almost surely, 2^{12938386728960} is an apocalyptic number.

12938386728960 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 12938386728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29213785036800).

12938386728960 is an abundant number, since it is smaller than the sum of its proper divisors (45489183344640).

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

12938386728960 is a wasteful number, since it uses less digits than its factorization.

12938386728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 12938386728960 in words is "twelve trillion, nine hundred thirty-eight billion, three hundred eighty-six million, seven hundred twenty-eight thousand, nine hundred sixty".