110126016080640 has 4320 divisors, whose sum is σ = 510491931586560. Its totient is φ = 22117005656064.

The previous prime is 110126016080627. The next prime is 110126016080713. The reversal of 110126016080640 is 46080610621011.

110126016080640 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 6 + 0 + 1 + 6 + 0 + 8 + 0 + 640 = 666.

110126016080640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110126016080595 and 110126016080604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 306757704781 + ... + 306757705139.

It is an arithmetic number, because the mean of its divisors is an integer number (118169428608).

Almost surely, 2^{110126016080640} is an apocalyptic number.

110126016080640 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 110126016080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255245965793280).

110126016080640 is an abundant number, since it is smaller than the sum of its proper divisors (400365915505920).

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

110126016080640 is a wasteful number, since it uses less digits than its factorization.

110126016080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 110126016080640 in words is "one hundred ten trillion, one hundred twenty-six billion, sixteen million, eighty thousand, six hundred forty".