110564961120 has 576 divisors, whose sum is σ = 416386414080. Its totient is φ = 27626323968.

The previous prime is 110564961077. The next prime is 110564961121. The reversal of 110564961120 is 21169465011.

110564961120 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 649 + 6 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×110564961120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110564961121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71655069 + ... + 71656611.

It is an arithmetic number, because the mean of its divisors is an integer number (722893080).

Almost surely, 2^110564961120 is an apocalyptic number.

110564961120 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 110564961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208193207040).

110564961120 is an abundant number, since it is smaller than the sum of its proper divisors (305821452960).

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

110564961120 is a wasteful number, since it uses less digits than its factorization.

110564961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 110564961120 in words is "one hundred ten billion, five hundred sixty-four million, nine hundred sixty-one thousand, one hundred twenty".