110068406278272 has 2560 divisors, whose sum is σ = 407379364761600. Its totient is φ = 29135559720960.

The previous prime is 110068406278219. The next prime is 110068406278283. The reversal of 110068406278272 is 272872604860011.

110068406278272 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 8 + 4 + 0 + 627 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 145400800518 + ... + 145400801274.

It is an arithmetic number, because the mean of its divisors is an integer number (159132564360).

Almost surely, 2^{110068406278272} is an apocalyptic number.

110068406278272 is a gapful number since it is divisible by the number (12) 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 110068406278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203689682380800).

110068406278272 is an abundant number, since it is smaller than the sum of its proper divisors (297310958483328).

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

110068406278272 is a wasteful number, since it uses less digits than its factorization.

110068406278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 110068406278272 in words is "one hundred ten trillion, sixty-eight billion, four hundred six million, two hundred seventy-eight thousand, two hundred seventy-two".