1296866328576 has 960 divisors, whose sum is σ = 4509578035200. Its totient is φ = 322327019520.

The previous prime is 1296866328551. The next prime is 1296866328649. The reversal of 1296866328576 is 6758236686921.

It is a self number, because there is not a number n which added to its sum of digits gives 1296866328576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6516916125 + ... + 6516916323.

It is an arithmetic number, because the mean of its divisors is an integer number (4697477120).

Almost surely, 2^{1296866328576} is an apocalyptic number.

1296866328576 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 1296866328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254789017600).

1296866328576 is an abundant number, since it is smaller than the sum of its proper divisors (3212711706624).

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

1296866328576 is a wasteful number, since it uses less digits than its factorization.

1296866328576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 69.

The spelling of 1296866328576 in words is "one trillion, two hundred ninety-six billion, eight hundred sixty-six million, three hundred twenty-eight thousand, five hundred seventy-six".