12887355936000 has 3456 divisors, whose sum is σ = 57099359116800. Its totient is φ = 2564274585600.

The previous prime is 12887355935989. The next prime is 12887355936079. The reversal of 12887355936000 is 63955378821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 299705951979 + ... + 299705952021.

It is an arithmetic number, because the mean of its divisors is an integer number (16521805300).

Almost surely, 2^{12887355936000} is an apocalyptic number.

12887355936000 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 12887355936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28549679558400).

12887355936000 is an abundant number, since it is smaller than the sum of its proper divisors (44212003180800).

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

12887355936000 is an equidigital number, since it uses as much as digits as its factorization.

12887355936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 12887355936000 in words is "twelve trillion, eight hundred eighty-seven billion, three hundred fifty-five million, nine hundred thirty-six thousand".