10589686418816 has 64 divisors (see below), whose sum is σ = 21167716733280. Its totient is φ = 5277011755008.

The previous prime is 10589686418803. The next prime is 10589686418849. The reversal of 10589686418816 is 61881468698501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10589686418816² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10589686418816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209062805 + ... + 209113451.

Almost surely, 2^{10589686418816} is an apocalyptic number.

10589686418816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10589686418816 is a deficient number, since it is larger than the sum of its proper divisors (10578030314464).

10589686418816 is an equidigital number, since it uses as much as digits as its factorization.

10589686418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56131 (or 56119 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 71.

The spelling of 10589686418816 in words is "ten trillion, five hundred eighty-nine billion, six hundred eighty-six million, four hundred eighteen thousand, eight hundred sixteen".