109830589234240 has 224 divisors, whose sum is σ = 299905315799040. Its totient is φ = 37529191102464.

The previous prime is 109830589234229. The next prime is 109830589234259. The reversal of 109830589234240 is 42432985038901.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288156731 + ... + 1288241989.

It is an arithmetic number, because the mean of its divisors is an integer number (1338863016960).

Almost surely, 2^{109830589234240} is an apocalyptic number.

109830589234240 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 109830589234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149952657899520).

109830589234240 is an abundant number, since it is smaller than the sum of its proper divisors (190074726564800).

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

109830589234240 is a wasteful number, since it uses less digits than its factorization.

109830589234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87217 (or 87207 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 109830589234240 in words is "one hundred nine trillion, eight hundred thirty billion, five hundred eighty-nine million, two hundred thirty-four thousand, two hundred forty".