12327659688960 has 2816 divisors, whose sum is σ = 57238380380160. Its totient is φ = 2441871360000.

The previous prime is 12327659688923. The next prime is 12327659688961. The reversal of 12327659688960 is 6988695672321.

It is a happy number.

12327659688960 is a `hidden beast` number, since 1 + 2 + 3 + 27 + 6 + 596 + 8 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327659688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20511912660 + ... + 20511913260.

Almost surely, 2^{12327659688960} is an apocalyptic number.

12327659688960 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 12327659688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619190190080).

12327659688960 is an abundant number, since it is smaller than the sum of its proper divisors (44910720691200).

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

12327659688960 is a wasteful number, since it uses less digits than its factorization.

12327659688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 12327659688960 in words is "twelve trillion, three hundred twenty-seven billion, six hundred fifty-nine million, six hundred eighty-eight thousand, nine hundred sixty".