1117568095056 has 1350 divisors, whose sum is σ = 4210691539230. Its totient is φ = 284944988160.

The previous prime is 1117568094989. The next prime is 1117568095067. The reversal of 1117568095056 is 6505908657111.

1117568095056 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 56 + 80 + 9 + 505 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28083056400 + 1089485038656 = 167580^2 + 1043784^2 .

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 = 1117568094993 and 1117568095011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 27257758396 + ... + 27257758436.

Almost surely, 2^{1117568095056} is an apocalyptic number.

1117568095056 is a gapful number since it is divisible by the number (16) 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 1117568095056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105345769615).

1117568095056 is an abundant number, since it is smaller than the sum of its proper divisors (3093123444174).

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

1117568095056 is a wasteful number, since it uses less digits than its factorization.

1117568095056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 1117568095056 in words is "one trillion, one hundred seventeen billion, five hundred sixty-eight million, ninety-five thousand, fifty-six".