12971968006536 has 768 divisors, whose sum is σ = 46335676907520. Its totient is φ = 3180275136000.

The previous prime is 12971968006519. The next prime is 12971968006549. The reversal of 12971968006536 is 63560086917921.

12971968006536 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 1 + 96 + 8 + 0 + 0 + 6 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 2479823041 + ... + 2479828271.

It is an arithmetic number, because the mean of its divisors is an integer number (60332912640).

Almost surely, 2^{12971968006536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12971968006536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23167838453760).

12971968006536 is an abundant number, since it is smaller than the sum of its proper divisors (33363708900984).

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

12971968006536 is a wasteful number, since it uses less digits than its factorization.

12971968006536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 12971968006536 in words is "twelve trillion, nine hundred seventy-one billion, nine hundred sixty-eight million, six thousand, five hundred thirty-six".