1328586442560 has 2016 divisors, whose sum is σ = 5737723205760. Its totient is φ = 290667626496.

The previous prime is 1328586442529. The next prime is 1328586442613. The reversal of 1328586442560 is 652446858231.

1328586442560 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 586 + 4 + 4 + 2 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1328586442497 and 1328586442506.

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 287 ways as a sum of consecutive naturals, for example, 4244684964 + ... + 4244685276.

It is an arithmetic number, because the mean of its divisors is an integer number (2846092860).

Almost surely, 2^{1328586442560} is an apocalyptic number.

1328586442560 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 1328586442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868861602880).

1328586442560 is an abundant number, since it is smaller than the sum of its proper divisors (4409136763200).

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

1328586442560 is a wasteful number, since it uses less digits than its factorization.

1328586442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 1328586442560 in words is "one trillion, three hundred twenty-eight billion, five hundred eighty-six million, four hundred forty-two thousand, five hundred sixty".