110475001665600 has 672 divisors, whose sum is σ = 431648748795264. Its totient is φ = 24383014502400.

The previous prime is 110475001665593. The next prime is 110475001665607. The reversal of 110475001665600 is 6566100574011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110475001665593) and next prime (110475001665607).

It is not an unprimeable number, because it can be changed into a prime (110475001665607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49004814 + ... + 51209586.

It is an arithmetic number, because the mean of its divisors is an integer number (642334447612).

Almost surely, 2^{110475001665600} is an apocalyptic number.

110475001665600 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 110475001665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215824374397632).

110475001665600 is an abundant number, since it is smaller than the sum of its proper divisors (321173747129664).

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

110475001665600 is a wasteful number, since it uses less digits than its factorization.

110475001665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204895 (or 2204880 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 110475001665600 in words is "one hundred ten trillion, four hundred seventy-five billion, one million, six hundred sixty-five thousand, six hundred".