109328820591200 has 288 divisors, whose sum is σ = 323287433280000. Its totient is φ = 35244563374080.

The previous prime is 109328820591197. The next prime is 109328820591229. The reversal of 109328820591200 is 2195028823901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96445301 + ... + 97572299.

It is an arithmetic number, because the mean of its divisors is an integer number (1122525810000).

Almost surely, 2^{109328820591200} is an apocalyptic number.

109328820591200 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 109328820591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161643716640000).

109328820591200 is an abundant number, since it is smaller than the sum of its proper divisors (213958612688800).

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

109328820591200 is a wasteful number, since it uses less digits than its factorization.

109328820591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128062 (or 1128049 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 109328820591200 in words is "one hundred nine trillion, three hundred twenty-eight billion, eight hundred twenty million, five hundred ninety-one thousand, two hundred".