109989721952880 has 960 divisors, whose sum is σ = 434379742917120. Its totient is φ = 22766181580800.

The previous prime is 109989721952863. The next prime is 109989721952917. The reversal of 109989721952880 is 88259127989901.

It is a junction number, because it is equal to n+sod(n) for n = 109989721952796 and 109989721952805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42028933332 + ... + 42028935948.

It is an arithmetic number, because the mean of its divisors is an integer number (452478898872).

Almost surely, 2^{109989721952880} is an apocalyptic number.

109989721952880 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 109989721952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217189871458560).

109989721952880 is an abundant number, since it is smaller than the sum of its proper divisors (324390020964240).

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

109989721952880 is a wasteful number, since it uses less digits than its factorization.

109989721952880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 78.

The spelling of 109989721952880 in words is "one hundred nine trillion, nine hundred eighty-nine billion, seven hundred twenty-one million, nine hundred fifty-two thousand, eight hundred eighty".