1161085685760 has 3744 divisors, whose sum is σ = 5873363758080. Its totient is φ = 208089907200.

The previous prime is 1161085685741. The next prime is 1161085685827. The reversal of 1161085685760 is 675865801611.

It is a happy number.

1161085685760 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 8 + 5 + 68 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a junction number, because it is equal to n+sod(n) for n = 1161085685697 and 1161085685706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37454376945 + ... + 37454376975.

It is an arithmetic number, because the mean of its divisors is an integer number (1568740320).

Almost surely, 2^{1161085685760} is an apocalyptic number.

1161085685760 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 1161085685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936681879040).

1161085685760 is an abundant number, since it is smaller than the sum of its proper divisors (4712278072320).

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

1161085685760 is a wasteful number, since it uses less digits than its factorization.

1161085685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1161085685760 in words is "one trillion, one hundred sixty-one billion, eighty-five million, six hundred eighty-five thousand, seven hundred sixty".