12959612195456 has 64 divisors (see below), whose sum is σ = 25991985525000. Its totient is φ = 6436163874816.

The previous prime is 12959612195419. The next prime is 12959612195473. The reversal of 12959612195456 is 65459121695921.

It can be written as a sum of positive squares in 4 ways, for example, as 9219967873600 + 3739644321856 = 3036440^2 + 1933816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12959612195456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12959612195392 and 12959612195401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55126610 + ... + 55361198.

Almost surely, 2^{12959612195456} is an apocalyptic number.

12959612195456 is a gapful number since it is divisible by the number (16) 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 12959612195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995992762500).

12959612195456 is an abundant number, since it is smaller than the sum of its proper divisors (13032373329544).

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

12959612195456 is a wasteful number, since it uses less digits than its factorization.

12959612195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237509 (or 237497 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 65.

The spelling of 12959612195456 in words is "twelve trillion, nine hundred fifty-nine billion, six hundred twelve million, one hundred ninety-five thousand, four hundred fifty-six".