12959197519338 has 256 divisors, whose sum is σ = 35638133760000. Its totient is φ = 3481609424832.

The previous prime is 12959197519291. The next prime is 12959197519339. The reversal of 12959197519338 is 83391579195921.

12959197519338 is a `hidden beast` number, since 1 + 2 + 9 + 59 + 197 + 51 + 9 + 338 = 666.

It is not an unprimeable number, because it can be changed into a prime (12959197519339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24876556 + ... + 25392152.

It is an arithmetic number, because the mean of its divisors is an integer number (139211460000).

Almost surely, 2^{12959197519338} is an apocalyptic number.

12959197519338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959197519338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819066880000).

12959197519338 is an abundant number, since it is smaller than the sum of its proper divisors (22678936240662).

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

12959197519338 is a wasteful number, since it uses less digits than its factorization.

12959197519338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515711 (or 515691 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 72.

The spelling of 12959197519338 in words is "twelve trillion, nine hundred fifty-nine billion, one hundred ninety-seven million, five hundred nineteen thousand, three hundred thirty-eight".