12971878536960 has 1944 divisors, whose sum is σ = 54394555059936. Its totient is φ = 2845288857600.

The previous prime is 12971878536917. The next prime is 12971878536973. The reversal of 12971878536960 is 6963587817921.

12971878536960 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 1 + 87 + 8 + 536 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 125940568269 + ... + 125940568371.

Almost surely, 2^{12971878536960} is an apocalyptic number.

12971878536960 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 12971878536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197277529968).

12971878536960 is an abundant number, since it is smaller than the sum of its proper divisors (41422676522976).

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

12971878536960 is a wasteful number, since it uses less digits than its factorization.

12971878536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 12971878536960 in words is "twelve trillion, nine hundred seventy-one billion, eight hundred seventy-eight million, five hundred thirty-six thousand, nine hundred sixty".