1327089000960 has 320 divisors, whose sum is σ = 4991225184000. Its totient is φ = 333073022976.

The previous prime is 1327089000949. The next prime is 1327089000997. The reversal of 1327089000960 is 690009807231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1327089000960² (a number of 25 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 610341 + ... + 1739739.

It is an arithmetic number, because the mean of its divisors is an integer number (15597578700).

Almost surely, 2^{1327089000960} is an apocalyptic number.

1327089000960 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 1327089000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495612592000).

1327089000960 is an abundant number, since it is smaller than the sum of its proper divisors (3664136183040).

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

1327089000960 is a wasteful number, since it uses less digits than its factorization.

1327089000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129448 (or 1129426 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1327089000960 in words is "one trillion, three hundred twenty-seven billion, eighty-nine million, nine hundred sixty", and thus it is an aban number.