10206564005435 has 16 divisors (see below), whose sum is σ = 13998405363456. Its totient is φ = 6998370811488.

The previous prime is 10206564005431. The next prime is 10206564005437. The reversal of 10206564005435 is 53450046560201.

It is a happy number.

It is not a de Polignac number, because 10206564005435 - 2² = 10206564005431 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10206564005392 and 10206564005401.

It is not an unprimeable number, because it can be changed into a prime (10206564005431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8067389 + ... + 9246398.

It is an arithmetic number, because the mean of its divisors is an integer number (874900335216).

Almost surely, 2^{10206564005435} is an apocalyptic number.

10206564005435 is a deficient number, since it is larger than the sum of its proper divisors (3791841358021).

10206564005435 is a wasteful number, since it uses less digits than its factorization.

10206564005435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17330642.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 10206564005435 in words is "ten trillion, two hundred six billion, five hundred sixty-four million, five thousand, four hundred thirty-five".