109789944320 has 640 divisors, whose sum is σ = 329648901120. Its totient is φ = 34256977920.

The previous prime is 109789944311. The next prime is 109789944331. The reversal of 109789944320 is 23449987901.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (56).

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 63 ways as a sum of consecutive naturals, for example, 1233594836 + ... + 1233594924.

It is an arithmetic number, because the mean of its divisors is an integer number (515076408).

Almost surely, 2^109789944320 is an apocalyptic number.

109789944320 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 109789944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164824450560).

109789944320 is an abundant number, since it is smaller than the sum of its proper divisors (219858956800).

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

109789944320 is an equidigital number, since it uses as much as digits as its factorization.

109789944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 109789944320 in words is "one hundred nine billion, seven hundred eighty-nine million, nine hundred forty-four thousand, three hundred twenty".