12752532873828 has 1152 divisors, whose sum is σ = 40846748221440. Its totient is φ = 3424861440000.

The previous prime is 12752532873827. The next prime is 12752532873869. The reversal of 12752532873828 is 82837823525721.

12752532873828 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 532 + 8 + 73 + 8 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (12752532873827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24477030208 + ... + 24477030728.

It is an arithmetic number, because the mean of its divisors is an integer number (35457246720).

Almost surely, 2^{12752532873828} is an apocalyptic number.

12752532873828 is a gapful number since it is divisible by the number (18) 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 12752532873828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20423374110720).

12752532873828 is an abundant number, since it is smaller than the sum of its proper divisors (28094215347612).

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

12752532873828 is a wasteful number, since it uses less digits than its factorization.

12752532873828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 699 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 12752532873828 in words is "twelve trillion, seven hundred fifty-two billion, five hundred thirty-two million, eight hundred seventy-three thousand, eight hundred twenty-eight".