10585378656647 has 2 divisors, whose sum is σ = 10585378656648. Its totient is φ = 10585378656646.

The previous prime is 10585378656599. The next prime is 10585378656653. The reversal of 10585378656647 is 74665687358501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10585378656647 - 2¹⁶ = 10585378591111 is a prime.

It is a super-3 number, since 3×10585378656647³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10585308656647) by changing a digit.

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 as a sum of consecutive naturals, namely, 5292689328323 + 5292689328324.

It is an arithmetic number, because the mean of its divisors is an integer number (5292689328324).

Almost surely, 2^{10585378656647} is an apocalyptic number.

10585378656647 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585378656647 is an equidigital number, since it uses as much as digits as its factorization.

10585378656647 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064000, while the sum is 71.

The spelling of 10585378656647 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-eight million, six hundred fifty-six thousand, six hundred forty-seven".