109696380768 has 288 divisors, whose sum is σ = 347656458240. Its totient is φ = 32581647360.

The previous prime is 109696380767. The next prime is 109696380823. The reversal of 109696380768 is 867083696901.

109696380768 is a `hidden beast` number, since 10 + 96 + 96 + 380 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109696380763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 58379253 + ... + 58381131.

It is an arithmetic number, because the mean of its divisors is an integer number (1207140480).

Almost surely, 2^109696380768 is an apocalyptic number.

109696380768 is a gapful number since it is divisible by the number (18) 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 109696380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173828229120).

109696380768 is an abundant number, since it is smaller than the sum of its proper divisors (237960077472).

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

109696380768 is a wasteful number, since it uses less digits than its factorization.

109696380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 109696380768 in words is "one hundred nine billion, six hundred ninety-six million, three hundred eighty thousand, seven hundred sixty-eight".