10206620516349 has 32 divisors (see below), whose sum is σ = 15598188497280. Its totient is φ = 6592972320000.

The previous prime is 10206620516311. The next prime is 10206620516381. The reversal of 10206620516349 is 94361502660201.

10206620516349 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 6 + 2 + 0 + 5 + 1 + 634 + 9 = 666.

It is not a de Polignac number, because 10206620516349 - 2²⁹ = 10206083645437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206620516399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46136652 + ... + 46357349.

It is an arithmetic number, because the mean of its divisors is an integer number (487443390540).

Almost surely, 2^{10206620516349} is an apocalyptic number.

It is an amenable number.

10206620516349 is a deficient number, since it is larger than the sum of its proper divisors (5391567980931).

10206620516349 is an equidigital number, since it uses as much as digits as its factorization.

10206620516349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92494138 (or 92494132 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10206620516349 in words is "ten trillion, two hundred six billion, six hundred twenty million, five hundred sixteen thousand, three hundred forty-nine".