1328521628160 has 360 divisors, whose sum is σ = 4809831190164. Its totient is φ = 338866176000.

The previous prime is 1328521628087. The next prime is 1328521628267. The reversal of 1328521628160 is 618261258231.

1328521628160 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 2 + 1 + 628 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1310676943104 + 17844685056 = 1144848^2 + 133584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12133660 + ... + 12242660.

Almost surely, 2^{1328521628160} is an apocalyptic number.

1328521628160 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 1328521628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404915595082).

1328521628160 is an abundant number, since it is smaller than the sum of its proper divisors (3481309562004).

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

1328521628160 is a wasteful number, since it uses less digits than its factorization.

1328521628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109076 (or 109034 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1328521628160 in words is "one trillion, three hundred twenty-eight billion, five hundred twenty-one million, six hundred twenty-eight thousand, one hundred sixty".