1311627772672 has 432 divisors, whose sum is σ = 3343619284992. Its totient is φ = 510338949120.

The previous prime is 1311627772669. The next prime is 1311627772687. The reversal of 1311627772672 is 2762777261131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474023833 + ... + 474026599.

It is an arithmetic number, because the mean of its divisors is an integer number (7739859456).

Almost surely, 2^{1311627772672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311627772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671809642496).

1311627772672 is an abundant number, since it is smaller than the sum of its proper divisors (2031991512320).

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

1311627772672 is a wasteful number, since it uses less digits than its factorization.

1311627772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2883 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 52.

The spelling of 1311627772672 in words is "one trillion, three hundred eleven billion, six hundred twenty-seven million, seven hundred seventy-two thousand, six hundred seventy-two".