11839476668085 has 256 divisors, whose sum is σ = 24568840581120. Its totient is φ = 5345750753280.

The previous prime is 11839476668081. The next prime is 11839476668113. The reversal of 11839476668085 is 58086667493811.

It is not a de Polignac number, because 11839476668085 - 2² = 11839476668081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11839476668081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2790352974 + ... + 2790357216.

It is an arithmetic number, because the mean of its divisors is an integer number (95972033520).

Almost surely, 2^{11839476668085} is an apocalyptic number.

11839476668085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11839476668085 is an abundant number, since it is smaller than the sum of its proper divisors (12729363913035).

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

11839476668085 is a wasteful number, since it uses less digits than its factorization.

11839476668085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 11839476668085 in words is "eleven trillion, eight hundred thirty-nine billion, four hundred seventy-six million, six hundred sixty-eight thousand, eighty-five".