12738759936000 has 1536 divisors, whose sum is σ = 50668136064000. Its totient is φ = 2780037120000.

The previous prime is 12738759935989. The next prime is 12738759936011. The reversal of 12738759936000 is 63995783721.

It is an interprime number because it is at equal distance from previous prime (12738759935989) and next prime (12738759936011).

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

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 15746303596 + ... + 15746304404.

It is an arithmetic number, because the mean of its divisors is an integer number (32987067750).

Almost surely, 2^{12738759936000} is an apocalyptic number.

12738759936000 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 12738759936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334068032000).

12738759936000 is an abundant number, since it is smaller than the sum of its proper divisors (37929376128000).

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

12738759936000 is a wasteful number, since it uses less digits than its factorization.

12738759936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 12738759936000 in words is "twelve trillion, seven hundred thirty-eight billion, seven hundred fifty-nine million, nine hundred thirty-six thousand".