110013505560 has 1024 divisors, whose sum is σ = 467605094400. Its totient is φ = 22428057600.

The previous prime is 110013505549. The next prime is 110013505573. The reversal of 110013505560 is 65505310011.

110013505560 is a `hidden beast` number, since 1 + 100 + 1 + 3 + 5 + 0 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211158100 + ... + 211158620.

It is an arithmetic number, because the mean of its divisors is an integer number (456645600).

Almost surely, 2^110013505560 is an apocalyptic number.

110013505560 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 110013505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233802547200).

110013505560 is an abundant number, since it is smaller than the sum of its proper divisors (357591588840).

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

110013505560 is a wasteful number, since it uses less digits than its factorization.

110013505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 110013505560 its reverse (65505310011), we get a palindrome (175518815571).

The spelling of 110013505560 in words is "one hundred ten billion, thirteen million, five hundred five thousand, five hundred sixty".