1089117832704 has 240 divisors, whose sum is σ = 3327903000576. Its totient is φ = 315685089280.

The previous prime is 1089117832619. The next prime is 1089117832711. The reversal of 1089117832704 is 4072387119801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147297 + ... + 4402079.

Almost surely, 2^{1089117832704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089117832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663951500288).

1089117832704 is an abundant number, since it is smaller than the sum of its proper divisors (2238785167872).

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

1089117832704 is a wasteful number, since it uses less digits than its factorization.

1089117832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254849 (or 254822 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 1089117832704 in words is "one trillion, eighty-nine billion, one hundred seventeen million, eight hundred thirty-two thousand, seven hundred four".