109326127680 has 2016 divisors, whose sum is σ = 528818734080. Its totient is φ = 20827238400.

The previous prime is 109326127637. The next prime is 109326127693. The reversal of 109326127680 is 86721623901.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3526649265 + ... + 3526649295.

It is an arithmetic number, because the mean of its divisors is an integer number (262310880).

Almost surely, 2^109326127680 is an apocalyptic number.

109326127680 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 109326127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264409367040).

109326127680 is an abundant number, since it is smaller than the sum of its proper divisors (419492606400).

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

109326127680 is a wasteful number, since it uses less digits than its factorization.

109326127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109326127680 in words is "one hundred nine billion, three hundred twenty-six million, one hundred twenty-seven thousand, six hundred eighty".