10585378656656 has 10 divisors (see below), whose sum is σ = 20509171147302. Its totient is φ = 5292689328320.

The previous prime is 10585378656653. The next prime is 10585378656661. The reversal of 10585378656656 is 65665687358501.

It can be written as a sum of positive squares in only one way, i.e., 8824226713600 + 1761151943056 = 2970560^2 + 1327084^2 .

It is a super-2 number, since 2×10585378656656² (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 10585378656656.

It is not an unprimeable number, because it can be changed into a prime (10585378656653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 330793083005 + ... + 330793083036.

Almost surely, 2^{10585378656656} is an apocalyptic number.

10585378656656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10585378656656 is a deficient number, since it is larger than the sum of its proper divisors (9923792490646).

10585378656656 is an equidigital number, since it uses as much as digits as its factorization.

10585378656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661586166049 (or 661586166043 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 71.

The spelling of 10585378656656 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-eight million, six hundred fifty-six thousand, six hundred fifty-six".