1328985217350 has 288 divisors, whose sum is σ = 4144829517504. Its totient is φ = 299004825600.

The previous prime is 1328985217303. The next prime is 1328985217367. The reversal of 1328985217350 is 537125898231.

1328985217350 is a `hidden beast` number, since 1 + 3 + 2 + 89 + 8 + 521 + 7 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119798404 + ... + 119809496.

It is an arithmetic number, because the mean of its divisors is an integer number (14391769158).

Almost surely, 2^{1328985217350} is an apocalyptic number.

1328985217350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328985217350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072414758752).

1328985217350 is an abundant number, since it is smaller than the sum of its proper divisors (2815844300154).

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

1328985217350 is a wasteful number, since it uses less digits than its factorization.

1328985217350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11712 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1328985217350 in words is "one trillion, three hundred twenty-eight billion, nine hundred eighty-five million, two hundred seventeen thousand, three hundred fifty".