1105664559120 has 240 divisors, whose sum is σ = 4051475064000. Its totient is φ = 267992110080.

The previous prime is 1105664559047. The next prime is 1105664559179. The reversal of 1105664559120 is 219554665011.

1105664559120 is a `hidden beast` number, since 1 + 1 + 0 + 56 + 6 + 4 + 5 + 591 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1105664559120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 67620706 + ... + 67637054.

It is an arithmetic number, because the mean of its divisors is an integer number (16881146100).

Almost surely, 2^{1105664559120} is an apocalyptic number.

1105664559120 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 1105664559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025737532000).

1105664559120 is an abundant number, since it is smaller than the sum of its proper divisors (2945810504880).

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

1105664559120 is a wasteful number, since it uses less digits than its factorization.

1105664559120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24918 (or 24909 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1105664559120 in words is "one trillion, one hundred five billion, six hundred sixty-four million, five hundred fifty-nine thousand, one hundred twenty".