109689189120 has 756 divisors, whose sum is σ = 458435678400. Its totient is φ = 25061363712.

The previous prime is 109689189101. The next prime is 109689189133. The reversal of 109689189120 is 21981986901.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45721681 + ... + 45724079.

It is an arithmetic number, because the mean of its divisors is an integer number (606396400).

Almost surely, 2^109689189120 is an apocalyptic number.

109689189120 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 109689189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229217839200).

109689189120 is an abundant number, since it is smaller than the sum of its proper divisors (348746489280).

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

109689189120 is an frugal number, since it uses more digits than its factorization.

109689189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 109689189120 in words is "one hundred nine billion, six hundred eighty-nine million, one hundred eighty-nine thousand, one hundred twenty".