11686507882128 has 50 divisors (see below), whose sum is σ = 33824144344694. Its totient is φ = 3895502626944.

The previous prime is 11686507882111. The next prime is 11686507882129. The reversal of 11686507882128 is 82128870568611.

11686507882128 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 507 + 88 + 21 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11178270065664 + 508237816464 = 3343392^2 + 712908^2 .

It is not an unprimeable number, because it can be changed into a prime (11686507882129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4508682301 + ... + 4508684892.

Almost surely, 2^{11686507882128} is an apocalyptic number.

11686507882128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11686507882128 is an abundant number, since it is smaller than the sum of its proper divisors (22137636462566).

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

11686507882128 is an equidigital number, since it uses as much as digits as its factorization.

11686507882128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017367213 (or 9017367198 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 11686507882128 in words is "eleven trillion, six hundred eighty-six billion, five hundred seven million, eight hundred eighty-two thousand, one hundred twenty-eight".