10205816864 has 48 divisors (see below), whose sum is σ = 22069817280. Its totient is φ = 4624139520.

The previous prime is 10205816861. The next prime is 10205816891. The reversal of 10205816864 is 46861850201.

It is not an unprimeable number, because it can be changed into a prime (10205816861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350927 + ... + 378894.

It is an arithmetic number, because the mean of its divisors is an integer number (459787860).

Almost surely, 2^10205816864 is an apocalyptic number.

It is an amenable number.

10205816864 is an abundant number, since it is smaller than the sum of its proper divisors (11864000416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10205816864 is a wasteful number, since it uses less digits than its factorization.

10205816864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729873 (or 729865 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 10205816864 in words is "ten billion, two hundred five million, eight hundred sixteen thousand, eight hundred sixty-four".