12896919353472 has 512 divisors, whose sum is σ = 44867022336000. Its totient is φ = 3182673838080.

The previous prime is 12896919353429. The next prime is 12896919353497. The reversal of 12896919353472 is 27435391969821.

12896919353472 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 (69).

It is a junction number, because it is equal to n+sod(n) for n = 12896919353397 and 12896919353406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101265898 + ... + 101393174.

It is an arithmetic number, because the mean of its divisors is an integer number (87630903000).

Almost surely, 2^{12896919353472} is an apocalyptic number.

12896919353472 is a gapful number since it is divisible by the number (12) 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 12896919353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433511168000).

12896919353472 is an abundant number, since it is smaller than the sum of its proper divisors (31970102982528).

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

12896919353472 is a wasteful number, since it uses less digits than its factorization.

12896919353472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127484 (or 127472 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 69.

The spelling of 12896919353472 in words is "twelve trillion, eight hundred ninety-six billion, nine hundred nineteen million, three hundred fifty-three thousand, four hundred seventy-two".