10873661589117 has 96 divisors (see below), whose sum is σ = 17753554930176. Its totient is φ = 6377178931200.

The previous prime is 10873661589113. The next prime is 10873661589121. The reversal of 10873661589117 is 71198516637801.

10873661589117 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 3 + 6 + 615 + 8 + 9 + 1 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (10873661589113) and next prime (10873661589121).

It is not a de Polignac number, because 10873661589117 - 2² = 10873661589113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10873661589113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28040367 + ... + 28425507.

It is an arithmetic number, because the mean of its divisors is an integer number (184932863856).

Almost surely, 2^{10873661589117} is an apocalyptic number.

10873661589117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10873661589117 is a deficient number, since it is larger than the sum of its proper divisors (6879893341059).

10873661589117 is a wasteful number, since it uses less digits than its factorization.

10873661589117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385371 (or 385368 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 10873661589117 in words is "ten trillion, eight hundred seventy-three billion, six hundred sixty-one million, five hundred eighty-nine thousand, one hundred seventeen".