1106359288056 has 128 divisors (see below), whose sum is σ = 3353481734400. Its totient is φ = 335172608640.

The previous prime is 1106359288003. The next prime is 1106359288063. The reversal of 1106359288056 is 6508829536011.

1106359288056 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 359 + 288 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1106359287993 and 1106359288011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9319086 + ... + 9437058.

It is an arithmetic number, because the mean of its divisors is an integer number (26199076050).

Almost surely, 2^{1106359288056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106359288056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676740867200).

1106359288056 is an abundant number, since it is smaller than the sum of its proper divisors (2247122446344).

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

1106359288056 is a wasteful number, since it uses less digits than its factorization.

1106359288056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121946 (or 121936 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1106359288056 in words is "one trillion, one hundred six billion, three hundred fifty-nine million, two hundred eighty-eight thousand, fifty-six".