1170108205056 has 384 divisors, whose sum is σ = 4020516864000. Its totient is φ = 329319530496.

The previous prime is 1170108205051. The next prime is 1170108205129. The reversal of 1170108205056 is 6505028010711.

1170108205056 is a `hidden beast` number, since 1 + 1 + 70 + 1 + 0 + 82 + 0 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1170108205056.

It is not an unprimeable number, because it can be changed into a prime (1170108205051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25911265 + ... + 25956383.

It is an arithmetic number, because the mean of its divisors is an integer number (10470096000).

Almost surely, 2^{1170108205056} is an apocalyptic number.

1170108205056 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 1170108205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010258432000).

1170108205056 is an abundant number, since it is smaller than the sum of its proper divisors (2850408658944).

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

1170108205056 is an equidigital number, since it uses as much as digits as its factorization.

1170108205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45224 (or 45198 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 1170108205056 in words is "one trillion, one hundred seventy billion, one hundred eight million, two hundred five thousand, fifty-six".