12738927238400 has 648 divisors, whose sum is σ = 36009589863744. Its totient is φ = 4454912000000.

The previous prime is 12738927238327. The next prime is 12738927238439. The reversal of 12738927238400 is 483272983721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2254275575 + ... + 2254281225.

It is an arithmetic number, because the mean of its divisors is an integer number (55570354728).

Almost surely, 2^{12738927238400} is an apocalyptic number.

12738927238400 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 12738927238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004794931872).

12738927238400 is an abundant number, since it is smaller than the sum of its proper divisors (23270662625344).

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

12738927238400 is a wasteful number, since it uses less digits than its factorization.

12738927238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 12738927238400 in words is "twelve trillion, seven hundred thirty-eight billion, nine hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".