203686680960 has 768 divisors, whose sum is σ = 827551296000. Its totient is φ = 46142853120.

The previous prime is 203686680949. The next prime is 203686680997. The reversal of 203686680960 is 69086686302.

It is a junction number, because it is equal to n+sod(n) for n = 203686680897 and 203686680906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258813687 + ... + 258814473.

It is an arithmetic number, because the mean of its divisors is an integer number (1077540750).

Almost surely, 2^203686680960 is an apocalyptic number.

203686680960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203686680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413775648000).

203686680960 is an abundant number, since it is smaller than the sum of its proper divisors (623864615040).

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

203686680960 is a wasteful number, since it uses less digits than its factorization.

203686680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 203686680960 in words is "two hundred three billion, six hundred eighty-six million, six hundred eighty thousand, nine hundred sixty".