1089328988160 has 2160 divisors, whose sum is σ = 4957673313600. Its totient is φ = 225628913664.

The previous prime is 1089328988159. The next prime is 1089328988201. The reversal of 1089328988160 is 618898239801.

It is a happy number.

1089328988160 is a `hidden beast` number, since 10 + 89 + 328 + 98 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47362129909 + ... + 47362129931.

Almost surely, 2^{1089328988160} is an apocalyptic number.

1089328988160 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 1089328988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478836656800).

1089328988160 is an abundant number, since it is smaller than the sum of its proper divisors (3868344325440).

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

1089328988160 is an equidigital number, since it uses as much as digits as its factorization.

1089328988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 1089328988160 in words is "one trillion, eighty-nine billion, three hundred twenty-eight million, nine hundred eighty-eight thousand, one hundred sixty".