12735965672936 has 128 divisors (see below), whose sum is σ = 27286614633600. Its totient is φ = 5521571328000.

The previous prime is 12735965672891. The next prime is 12735965672951. The reversal of 12735965672936 is 63927656953721.

It is a self number, because there is not a number n which added to its sum of digits gives 12735965672936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53615435 + ... + 53852453.

It is an arithmetic number, because the mean of its divisors is an integer number (213176676825).

Almost surely, 2^{12735965672936} 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 12735965672936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643307316800).

12735965672936 is an abundant number, since it is smaller than the sum of its proper divisors (14550648960664).

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

12735965672936 is a wasteful number, since it uses less digits than its factorization.

12735965672936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237411 (or 237407 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 71.

The spelling of 12735965672936 in words is "twelve trillion, seven hundred thirty-five billion, nine hundred sixty-five million, six hundred seventy-two thousand, nine hundred thirty-six".