110085301872 has 240 divisors, whose sum is σ = 379773401280. Its totient is φ = 28988264448.

The previous prime is 110085301861. The next prime is 110085301889. The reversal of 110085301872 is 278103580011.

110085301872 is a `hidden beast` number, since 1 + 100 + 8 + 530 + 18 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8865204 + ... + 8877612.

It is an arithmetic number, because the mean of its divisors is an integer number (1582389172).

Almost surely, 2^110085301872 is an apocalyptic number.

110085301872 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 110085301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189886700640).

110085301872 is an abundant number, since it is smaller than the sum of its proper divisors (269688099408).

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

110085301872 is a wasteful number, since it uses less digits than its factorization.

110085301872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 110085301872 its reverse (278103580011), we get a palindrome (388188881883).

The spelling of 110085301872 in words is "one hundred ten billion, eighty-five million, three hundred one thousand, eight hundred seventy-two".