109326440160 has 864 divisors, whose sum is σ = 452315695104. Its totient is φ = 23950080000.

The previous prime is 109326440159. The next prime is 109326440177. The reversal of 109326440160 is 61044623901.

109326440160 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 2 + 644 + 0 + 1 + 6 + 0 = 666.

109326440160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330291195 + ... + 330291525.

It is an arithmetic number, because the mean of its divisors is an integer number (523513536).

Almost surely, 2^109326440160 is an apocalyptic number.

109326440160 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 109326440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226157847552).

109326440160 is an abundant number, since it is smaller than the sum of its proper divisors (342989254944).

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

109326440160 is a wasteful number, since it uses less digits than its factorization.

109326440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 109326440160 in words is "one hundred nine billion, three hundred twenty-six million, four hundred forty thousand, one hundred sixty".