12896760135168 has 2000 divisors, whose sum is σ = 49744064207376. Its totient is φ = 3318383738880.

The previous prime is 12896760135163. The next prime is 12896760135197. The reversal of 12896760135168 is 86153106769821.

12896760135168 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 6 + 7 + 601 + 3 + 5 + 16 + 8 = 666.

12896760135168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896760135163) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 314555125228 + ... + 314555125268.

Almost surely, 2^{12896760135168} is an apocalyptic number.

12896760135168 is a gapful number since it is divisible by the number (18) 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 12896760135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872032103688).

12896760135168 is an abundant number, since it is smaller than the sum of its proper divisors (36847304072208).

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

12896760135168 is an frugal number, since it uses more digits than its factorization.

12896760135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 12896760135168 in words is "twelve trillion, eight hundred ninety-six billion, seven hundred sixty million, one hundred thirty-five thousand, one hundred sixty-eight".