1105795007856 has 960 divisors, whose sum is σ = 4187663400960. Its totient is φ = 264531271680.

The previous prime is 1105795007851. The next prime is 1105795007879. The reversal of 1105795007856 is 6587005975011.

It is a happy number.

1105795007856 is a `hidden beast` number, since 1 + 1 + 0 + 57 + 9 + 500 + 7 + 85 + 6 = 666.

It is a super-2 number, since 2×1105795007856² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105795007851) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2887193041 + ... + 2887193423.

It is an arithmetic number, because the mean of its divisors is an integer number (4362149376).

Almost surely, 2^{1105795007856} is an apocalyptic number.

1105795007856 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 1105795007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093831700480).

1105795007856 is an abundant number, since it is smaller than the sum of its proper divisors (3081868393104).

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

1105795007856 is a wasteful number, since it uses less digits than its factorization.

1105795007856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 1105795007856 in words is "one trillion, one hundred five billion, seven hundred ninety-five million, seven thousand, eight hundred fifty-six".