10017766916838 has 48 divisors (see below), whose sum is σ = 22192251157440. Its totient is φ = 3264480828288.

The previous prime is 10017766916741. The next prime is 10017766916867. The reversal of 10017766916838 is 83861966771001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6009103 + ... + 7492986.

It is an arithmetic number, because the mean of its divisors is an integer number (462338565780).

Almost surely, 2^{10017766916838} is an apocalyptic number.

10017766916838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10017766916838 is an abundant number, since it is smaller than the sum of its proper divisors (12174484240602).

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

10017766916838 is a wasteful number, since it uses less digits than its factorization.

10017766916838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13503021 (or 13503018 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10017766916838 in words is "ten trillion, seventeen billion, seven hundred sixty-six million, nine hundred sixteen thousand, eight hundred thirty-eight".