1272853291264 has 81 divisors (see below), whose sum is σ = 2568599313007. Its totient is φ = 629522012672.

The previous prime is 1272853291231. The next prime is 1272853291267. The reversal of 1272853291264 is 4621923582721.

The square root of 1272853291264 is 1128208.

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

It is a Duffinian number.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (1272853291267) 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 8 ways as a sum of consecutive naturals, for example, 1931491767 + ... + 1931492425.

Almost surely, 2^{1272853291264} is an apocalyptic number.

1272853291264 is the 1128208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272853291264

1272853291264 is an abundant number, since it is smaller than the sum of its proper divisors (1295746021743).

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

1272853291264 is an frugal number, since it uses more digits than its factorization.

1272853291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 768 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 1272853291264 in words is "one trillion, two hundred seventy-two billion, eight hundred fifty-three million, two hundred ninety-one thousand, two hundred sixty-four".