1328959796288 has 336 divisors, whose sum is σ = 3060411303600. Its totient is φ = 569563545600.

The previous prime is 1328959796279. The next prime is 1328959796291. The reversal of 1328959796288 is 8826979598231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25270825024 + 1303688971264 = 158968^2 + 1141792^2 .

It is a super-2 number, since 2×1328959796288² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243179818 + ... + 1243180886.

It is an arithmetic number, because the mean of its divisors is an integer number (9108366975).

Almost surely, 2^{1328959796288} 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 1328959796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530205651800).

1328959796288 is an abundant number, since it is smaller than the sum of its proper divisors (1731451507312).

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

1328959796288 is a wasteful number, since it uses less digits than its factorization.

1328959796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1189 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 77.

The spelling of 1328959796288 in words is "one trillion, three hundred twenty-eight billion, nine hundred fifty-nine million, seven hundred ninety-six thousand, two hundred eighty-eight".