1326568642560 has 864 divisors, whose sum is σ = 5630137858800. Its totient is φ = 287238389760.

The previous prime is 1326568642543. The next prime is 1326568642577. The reversal of 1326568642560 is 652468656231.

1326568642560 is a `hidden beast` number, since 1 + 3 + 26 + 56 + 8 + 6 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1326568642543) and next prime (1326568642577).

It is a junction number, because it is equal to n+sod(n) for n = 1326568642497 and 1326568642506.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 85793230 + ... + 85808690.

Almost surely, 2^{1326568642560} is an apocalyptic number.

1326568642560 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 1326568642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815068929400).

1326568642560 is an abundant number, since it is smaller than the sum of its proper divisors (4303569216240).

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

1326568642560 is a wasteful number, since it uses less digits than its factorization.

1326568642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527 (or 15497 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 1326568642560 in words is "one trillion, three hundred twenty-six billion, five hundred sixty-eight million, six hundred forty-two thousand, five hundred sixty".