1006685135568 has 240 divisors, whose sum is σ = 3243795050496. Its totient is φ = 285485472000.

The previous prime is 1006685135563. The next prime is 1006685135609. The reversal of 1006685135568 is 8655315866001.

1006685135568 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 85 + 1 + 3 + 556 + 8 = 666.

It is a Cunningham number, because it is equal to 1003337²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006685135563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126416355 + ... + 126424317.

Almost surely, 2^{1006685135568} is an apocalyptic number.

1006685135568 is a gapful number since it is divisible by the number (18) 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 1006685135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621897525248).

1006685135568 is an abundant number, since it is smaller than the sum of its proper divisors (2237109914928).

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

1006685135568 is a wasteful number, since it uses less digits than its factorization.

1006685135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1006685135568 in words is "one trillion, six billion, six hundred eighty-five million, one hundred thirty-five thousand, five hundred sixty-eight".