110079552096 has 144 divisors (see below), whose sum is σ = 335827674000. Its totient is φ = 35427829248.

The previous prime is 110079552091. The next prime is 110079552113. The reversal of 110079552096 is 690255970011.

110079552096 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 7 + 9 + 552 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110079552091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18571 + ... + 469578.

It is an arithmetic number, because the mean of its divisors is an integer number (2332136625).

Almost surely, 2^110079552096 is an apocalyptic number.

110079552096 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 110079552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167913837000).

110079552096 is an abundant number, since it is smaller than the sum of its proper divisors (225748121904).

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

110079552096 is an equidigital number, since it uses as much as digits as its factorization.

110079552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488203 (or 488183 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 110079552096 in words is "one hundred ten billion, seventy-nine million, five hundred fifty-two thousand, ninety-six".