12896619132288 has 128 divisors (see below), whose sum is σ = 34562212945920. Its totient is φ = 4260597497856.

The previous prime is 12896619132259. The next prime is 12896619132301. The reversal of 12896619132288 is 88223191669821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12896619132288² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47021920 + ... + 47295392.

It is an arithmetic number, because the mean of its divisors is an integer number (270017288640).

Almost surely, 2^{12896619132288} 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 12896619132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281106472960).

12896619132288 is an abundant number, since it is smaller than the sum of its proper divisors (21665593813632).

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

12896619132288 is a wasteful number, since it uses less digits than its factorization.

12896619132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274584 (or 274572 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 66.

The spelling of 12896619132288 in words is "twelve trillion, eight hundred ninety-six billion, six hundred nineteen million, one hundred thirty-two thousand, two hundred eighty-eight".