12328546024960 has 160 divisors (see below), whose sum is σ = 32365865309184. Its totient is φ = 4466562048000.

The previous prime is 12328546024933. The next prime is 12328546024969. The reversal of 12328546024960 is 6942064582321.

12328546024960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 12328546024898 and 12328546024907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328546024969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6823605 + ... + 8439115.

Almost surely, 2^{12328546024960} is an apocalyptic number.

12328546024960 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 12328546024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182932654592).

12328546024960 is an abundant number, since it is smaller than the sum of its proper divisors (20037319284224).

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

12328546024960 is a wasteful number, since it uses less digits than its factorization.

12328546024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615816 (or 1615800 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 12328546024960 in words is "twelve trillion, three hundred twenty-eight billion, five hundred forty-six million, twenty-four thousand, nine hundred sixty".