110827685808 has 320 divisors, whose sum is σ = 373926067200. Its totient is φ = 30768629760.

The previous prime is 110827685803. The next prime is 110827685887. The reversal of 110827685808 is 808586728011.

110827685808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110827685808² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (110827685803) 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 63 ways as a sum of consecutive naturals, for example, 33350035 + ... + 33353357.

It is an arithmetic number, because the mean of its divisors is an integer number (1168518960).

Almost surely, 2^110827685808 is an apocalyptic number.

110827685808 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 110827685808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186963033600).

110827685808 is an abundant number, since it is smaller than the sum of its proper divisors (263098381392).

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

110827685808 is a wasteful number, since it uses less digits than its factorization.

110827685808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 110827685808 in words is "one hundred ten billion, eight hundred twenty-seven million, six hundred eighty-five thousand, eight hundred eight".