11955936610464 has 384 divisors, whose sum is σ = 40474096588800. Its totient is φ = 3062891059200.

The previous prime is 11955936610463. The next prime is 11955936610483. The reversal of 11955936610464 is 46401663955911.

It is a junction number, because it is equal to n+sod(n) for n = 11955936610398 and 11955936610407.

It is not an unprimeable number, because it can be changed into a prime (11955936610463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26215099 + ... + 26667269.

It is an arithmetic number, because the mean of its divisors is an integer number (105401293200).

Almost surely, 2^{11955936610464} is an apocalyptic number.

11955936610464 is a gapful number since it is divisible by the number (14) 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 11955936610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237048294400).

11955936610464 is an abundant number, since it is smaller than the sum of its proper divisors (28518159978336).

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

11955936610464 is a wasteful number, since it uses less digits than its factorization.

11955936610464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452289 (or 452267 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 11955936610464 in words is "eleven trillion, nine hundred fifty-five billion, nine hundred thirty-six million, six hundred ten thousand, four hundred sixty-four".