109666861608240 has 1440 divisors, whose sum is σ = 408307790468160. Its totient is φ = 27044211916800.

The previous prime is 109666861608149. The next prime is 109666861608263. The reversal of 109666861608240 is 42806168666901.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 184935685384 + ... + 184935685976.

It is an arithmetic number, because the mean of its divisors is an integer number (283547076714).

Almost surely, 2^{109666861608240} is an apocalyptic number.

109666861608240 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 109666861608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153895234080).

109666861608240 is an abundant number, since it is smaller than the sum of its proper divisors (298640928859920).

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

109666861608240 is a wasteful number, since it uses less digits than its factorization.

109666861608240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 109666861608240 in words is "one hundred nine trillion, six hundred sixty-six billion, eight hundred sixty-one million, six hundred eight thousand, two hundred forty".