1328759133660 has 864 divisors, whose sum is σ = 5143836192768. Its totient is φ = 275591393280.

The previous prime is 1328759133571. The next prime is 1328759133683. The reversal of 1328759133660 is 663319578231.

1328759133660 is a `hidden beast` number, since 13 + 2 + 8 + 7 + 591 + 3 + 36 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1328759133597 and 1328759133606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2263643887 + ... + 2263644473.

It is an arithmetic number, because the mean of its divisors is an integer number (5953514112).

Almost surely, 2^{1328759133660} is an apocalyptic number.

1328759133660 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 1328759133660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571918096384).

1328759133660 is an abundant number, since it is smaller than the sum of its proper divisors (3815077059108).

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

1328759133660 is a wasteful number, since it uses less digits than its factorization.

1328759133660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1328759133660 in words is "one trillion, three hundred twenty-eight billion, seven hundred fifty-nine million, one hundred thirty-three thousand, six hundred sixty".