1089328810752 has 648 divisors, whose sum is σ = 3936822489600. Its totient is φ = 283602788352.

The previous prime is 1089328810721. The next prime is 1089328810769. The reversal of 1089328810752 is 2570188239801.

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, 215322399 + ... + 215327457.

Almost surely, 2^{1089328810752} is an apocalyptic number.

1089328810752 is a gapful number since it is divisible by the number (12) 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 1089328810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968411244800).

1089328810752 is an abundant number, since it is smaller than the sum of its proper divisors (2847493678848).

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

1089328810752 is a wasteful number, since it uses less digits than its factorization.

1089328810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1089328810752 in words is "one trillion, eighty-nine billion, three hundred twenty-eight million, eight hundred ten thousand, seven hundred fifty-two".