12753126607104 has 729 divisors, whose sum is σ = 40924630113003. Its totient is φ = 3817761472512.

The previous prime is 12753126607061. The next prime is 12753126607127. The reversal of 12753126607104 is 40170662135721.

The square root of 12753126607104 is 3571152.

It is a perfect power (a square), and thus also a powerful number.

12753126607104 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 3 + 1 + 26 + 607 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2330043496704 + 10423083110400 = 1526448^2 + 3228480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12753126607104.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 131475531984 + ... + 131475532080.

Almost surely, 2^{12753126607104} is an apocalyptic number.

12753126607104 is the 3571152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12753126607104

12753126607104 is an abundant number, since it is smaller than the sum of its proper divisors (28171503505899).

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

12753126607104 is an frugal number, since it uses more digits than its factorization.

12753126607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12753126607104 in words is "twelve trillion, seven hundred fifty-three billion, one hundred twenty-six million, six hundred seven thousand, one hundred four".