109168967181120 has 896 divisors, whose sum is σ = 433397860761600. Its totient is φ = 22618491494400.

The previous prime is 109168967181107. The next prime is 109168967181121. The reversal of 109168967181120 is 21181769861901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109168967181121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69138040491 + ... + 69138042069.

It is an arithmetic number, because the mean of its divisors is an integer number (483702969600).

Almost surely, 2^{109168967181120} is an apocalyptic number.

109168967181120 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 109168967181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216698930380800).

109168967181120 is an abundant number, since it is smaller than the sum of its proper divisors (324228893580480).

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

109168967181120 is a wasteful number, since it uses less digits than its factorization.

109168967181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 60.

The spelling of 109168967181120 in words is "one hundred nine trillion, one hundred sixty-eight billion, nine hundred sixty-seven million, one hundred eighty-one thousand, one hundred twenty".