1082235768660 has 144 divisors (see below), whose sum is σ = 3318657123600. Its totient is φ = 285445988352.

The previous prime is 1082235768641. The next prime is 1082235768671. The reversal of 1082235768660 is 668675322801.

1082235768660 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 2 + 3 + 576 + 8 + 6 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3819981636 + 1078415787024 = 61806^2 + 1038468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1082235768597 and 1082235768606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29821006 + ... + 29857274.

It is an arithmetic number, because the mean of its divisors is an integer number (23046230025).

Almost surely, 2^{1082235768660} is an apocalyptic number.

1082235768660 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 1082235768660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659328561800).

1082235768660 is an abundant number, since it is smaller than the sum of its proper divisors (2236421354940).

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

1082235768660 is a wasteful number, since it uses less digits than its factorization.

1082235768660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38090 (or 38085 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1082235768660 in words is "one trillion, eighty-two billion, two hundred thirty-five million, seven hundred sixty-eight thousand, six hundred sixty".