110507427072 has 432 divisors, whose sum is σ = 380555255808. Its totient is φ = 30175580160.

The previous prime is 110507427047. The next prime is 110507427127. The reversal of 110507427072 is 270724705011.

110507427072 is a `hidden beast` number, since 1 + 10 + 507 + 4 + 2 + 70 + 72 = 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, 41496013 + ... + 41498675.

It is an arithmetic number, because the mean of its divisors is an integer number (880914944).

Almost surely, 2^110507427072 is an apocalyptic number.

110507427072 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 110507427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190277627904).

110507427072 is an abundant number, since it is smaller than the sum of its proper divisors (270047828736).

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

110507427072 is a wasteful number, since it uses less digits than its factorization.

110507427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 110507427072 in words is "one hundred ten billion, five hundred seven million, four hundred twenty-seven thousand, seventy-two".