1326867288960 has 256 divisors, whose sum is σ = 4346262676800. Its totient is φ = 344064983040.

The previous prime is 1326867288947. The next prime is 1326867288973. The reversal of 1326867288960 is 698827686231.

It is an interprime number because it is at equal distance from previous prime (1326867288947) and next prime (1326867288973).

It is a junction number, because it is equal to n+sod(n) for n = 1326867288891 and 1326867288900.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148398090 + ... + 148407030.

Almost surely, 2^{1326867288960} is an apocalyptic number.

1326867288960 is a gapful number since it is divisible by the number (10) 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 1326867288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173131338400).

1326867288960 is an abundant number, since it is smaller than the sum of its proper divisors (3019395387840).

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

1326867288960 is a wasteful number, since it uses less digits than its factorization.

1326867288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11089 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 1326867288960 in words is "one trillion, three hundred twenty-six billion, eight hundred sixty-seven million, two hundred eighty-eight thousand, nine hundred sixty".