12753152313984 has 448 divisors, whose sum is σ = 39768561261000. Its totient is φ = 4066713133056.

The previous prime is 12753152313973. The next prime is 12753152313989. The reversal of 12753152313984 is 48931325135721.

12753152313984 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 3 + 1 + 523 + 1 + 39 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8842725163584 + 3910427150400 = 2973672^2 + 1977480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12753152313984.

It is not an unprimeable number, because it can be changed into a prime (12753152313989) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 294937614 + ... + 294980850.

Almost surely, 2^{12753152313984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12753152313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884280630500).

12753152313984 is an abundant number, since it is smaller than the sum of its proper divisors (27015408947016).

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

12753152313984 is an equidigital number, since it uses as much as digits as its factorization.

12753152313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43407 (or 43380 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 12753152313984 in words is "twelve trillion, seven hundred fifty-three billion, one hundred fifty-two million, three hundred thirteen thousand, nine hundred eighty-four".