12795472709776 has 135 divisors (see below), whose sum is σ = 25888978249561. Its totient is φ = 6126357907072.

The previous prime is 12795472709753. The next prime is 12795472709779. The reversal of 12795472709776 is 67790727459721.

The square root of 12795472709776 is 3577076.

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

It can be written as a sum of positive squares in only one way, i.e., 9224219379600 + 3571253330176 = 3037140^2 + 1889776^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12795472709699 and 12795472709708.

It is not an unprimeable number, because it can be changed into a prime (12795472709779) 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 26 ways as a sum of consecutive naturals, for example, 35641985085 + ... + 35641985443.

Almost surely, 2^{12795472709776} is an apocalyptic number.

12795472709776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12795472709776 is the 3577076-th square number.

It is an amenable number.

12795472709776 is an abundant number, since it is smaller than the sum of its proper divisors (13093505539785).

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

12795472709776 is an frugal number, since it uses more digits than its factorization.

12795472709776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 653456160, while the sum is 73.

The spelling of 12795472709776 in words is "twelve trillion, seven hundred ninety-five billion, four hundred seventy-two million, seven hundred nine thousand, seven hundred seventy-six".