11665845910782 has 320 divisors, whose sum is σ = 32125677027840. Its totient is φ = 3088115103744.

The previous prime is 11665845910721. The next prime is 11665845910841. The reversal of 11665845910782 is 28701954856611.

11665845910782 is a `hidden beast` number, since 1 + 1 + 66 + 58 + 459 + 1 + 0 + 78 + 2 = 666.

It is a super-2 number, since 2×11665845910782² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3176106498 + ... + 3176110170.

It is an arithmetic number, because the mean of its divisors is an integer number (100392740712).

Almost surely, 2^{11665845910782} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11665845910782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062838513920).

11665845910782 is an abundant number, since it is smaller than the sum of its proper divisors (20459831117058).

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

11665845910782 is a wasteful number, since it uses less digits than its factorization.

11665845910782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 11665845910782 in words is "eleven trillion, six hundred sixty-five billion, eight hundred forty-five million, nine hundred ten thousand, seven hundred eighty-two".