10205840680 has 32 divisors (see below), whose sum is σ = 26243591040. Its totient is φ = 3499145280.

The previous prime is 10205840653. The next prime is 10205840683. The reversal of 10205840680 is 8604850201.

It is not an unprimeable number, because it can be changed into a prime (10205840683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18224436 + ... + 18224995.

It is an arithmetic number, because the mean of its divisors is an integer number (820112220).

Almost surely, 2^10205840680 is an apocalyptic number.

10205840680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205840680 is an abundant number, since it is smaller than the sum of its proper divisors (16037750360).

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

10205840680 is a wasteful number, since it uses less digits than its factorization.

10205840680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36449449 (or 36449445 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 10205840680 in words is "ten billion, two hundred five million, eight hundred forty thousand, six hundred eighty".