1296093867376 has 320 divisors, whose sum is σ = 3537343595520. Its totient is φ = 444075540480.

The previous prime is 1296093867331. The next prime is 1296093867379. The reversal of 1296093867376 is 6737683906921.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296093867379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29027020 + ... + 29071636.

It is an arithmetic number, because the mean of its divisors is an integer number (11054198736).

Almost surely, 2^{1296093867376} is an apocalyptic number.

1296093867376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296093867376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768671797760).

1296093867376 is an abundant number, since it is smaller than the sum of its proper divisors (2241249728144).

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

1296093867376 is a wasteful number, since it uses less digits than its factorization.

1296093867376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44752 (or 44746 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 67.

The spelling of 1296093867376 in words is "one trillion, two hundred ninety-six billion, ninety-three million, eight hundred sixty-seven thousand, three hundred seventy-six".