1272380594568 has 256 divisors, whose sum is σ = 3441585438720. Its totient is φ = 391042240512.

The previous prime is 1272380594567. The next prime is 1272380594587. The reversal of 1272380594568 is 8654950832721.

It is a super-2 number, since 2×1272380594568² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1272380594567) 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 63 ways as a sum of consecutive naturals, for example, 526428496 + ... + 526430912.

It is an arithmetic number, because the mean of its divisors is an integer number (13443693120).

It is a 1-persistent number, because it is pandigital, but 2⋅1272380594568 = 2544761189136 is not.

Almost surely, 2^{1272380594568} 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 1272380594568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720792719360).

1272380594568 is an abundant number, since it is smaller than the sum of its proper divisors (2169204844152).

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

1272380594568 is a wasteful number, since it uses less digits than its factorization.

1272380594568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 1272380594568 in words is "one trillion, two hundred seventy-two billion, three hundred eighty million, five hundred ninety-four thousand, five hundred sixty-eight".