12897657354240 has 2304 divisors, whose sum is σ = 51905426227200. Its totient is φ = 3032167219200.

The previous prime is 12897657354233. The next prime is 12897657354277. The reversal of 12897657354240 is 4245375679821.

It is a happy number.

12897657354240 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 7 + 6 + 573 + 54 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101556357057 + ... + 101556357183.

It is an arithmetic number, because the mean of its divisors is an integer number (22528396800).

It is a 1-persistent number, because it is pandigital, but 2⋅12897657354240 = 25795314708480 is not.

Almost surely, 2^{12897657354240} is an apocalyptic number.

12897657354240 is a gapful number since it is divisible by the number (10) 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 12897657354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952713113600).

12897657354240 is an abundant number, since it is smaller than the sum of its proper divisors (39007768872960).

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

12897657354240 is a wasteful number, since it uses less digits than its factorization.

12897657354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 12897657354240 in words is "twelve trillion, eight hundred ninety-seven billion, six hundred fifty-seven million, three hundred fifty-four thousand, two hundred forty".