109385504324096 has 2560 divisors, whose sum is σ = 332618711040000. Its totient is φ = 35288580096000.

The previous prime is 109385504324039. The next prime is 109385504324101. The reversal of 109385504324096 is 690423405583901.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 734130901430 + ... + 734130901578.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184000).

Almost surely, 2^{109385504324096} is an apocalyptic number.

109385504324096 is a gapful number since it is divisible by the number (16) 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 109385504324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166309355520000).

109385504324096 is an abundant number, since it is smaller than the sum of its proper divisors (223233206715904).

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

109385504324096 is a wasteful number, since it uses less digits than its factorization.

109385504324096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 59.

The spelling of 109385504324096 in words is "one hundred nine trillion, three hundred eighty-five billion, five hundred four million, three hundred twenty-four thousand, ninety-six".