12881957305536 has 336 divisors, whose sum is σ = 41610870352896. Its totient is φ = 3774885120000.

The previous prime is 12881957305517. The next prime is 12881957305559. The reversal of 12881957305536 is 63550375918821.

12881957305536 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 1 + 9 + 5 + 73 + 0 + 553 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271226751 + ... + 271274241.

Almost surely, 2^{12881957305536} is an apocalyptic number.

12881957305536 is a gapful number since it is divisible by the number (16) 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 12881957305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805435176448).

12881957305536 is an abundant number, since it is smaller than the sum of its proper divisors (28728913047360).

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

12881957305536 is a wasteful number, since it uses less digits than its factorization.

12881957305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48932 (or 48919 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 12881957305536 in words is "twelve trillion, eight hundred eighty-one billion, nine hundred fifty-seven million, three hundred five thousand, five hundred thirty-six".