12797153990721 has 63 divisors (see below), whose sum is σ = 19610829318481. Its totient is φ = 8346954065544.

The previous prime is 12797153990711. The next prime is 12797153990783. The reversal of 12797153990721 is 12709935179721.

The square root of 12797153990721 is 3577311.

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

12797153990721 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 7 + 1 + 539 + 90 + 7 + 2 + 1 = 666.

It is not a de Polignac number, because 12797153990721 - 2²¹ = 12797151893569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12797153990701) 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 62 ways as a sum of consecutive naturals, for example, 4539606250 + ... + 4539609068.

Almost surely, 2^{12797153990721} is an apocalyptic number.

12797153990721 is the 3577311-st square number.

12797153990721 is the 1788656-th centered octagonal number.

It is an amenable number.

12797153990721 is a deficient number, since it is larger than the sum of its proper divisors (6813675327760).

12797153990721 is an frugal number, since it uses more digits than its factorization.

12797153990721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 63.

The spelling of 12797153990721 in words is "twelve trillion, seven hundred ninety-seven billion, one hundred fifty-three million, nine hundred ninety thousand, seven hundred twenty-one".