109884209955840 has 2112 divisors, whose sum is σ = 432961157341440. Its totient is φ = 26624466616320.

The previous prime is 109884209955811. The next prime is 109884209955841. The reversal of 109884209955840 is 48559902488901.

109884209955840 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 8 + 4 + 20 + 9 + 9 + 558 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (109884209955841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63849046180 + ... + 63849047900.

Almost surely, 2^{109884209955840} is an apocalyptic number.

109884209955840 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 109884209955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216480578670720).

109884209955840 is an abundant number, since it is smaller than the sum of its proper divisors (323076947385600).

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

109884209955840 is a wasteful number, since it uses less digits than its factorization.

109884209955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 109884209955840 in words is "one hundred nine trillion, eight hundred eighty-four billion, two hundred nine million, nine hundred fifty-five thousand, eight hundred forty".