203968983680 has 480 divisors, whose sum is σ = 625833088020. Its totient is φ = 63516794880.

The previous prime is 203968983679. The next prime is 203968983697. The reversal of 203968983680 is 86389869302.

It can be written as a sum of positive squares in 2 ways, for example, as 197256786496 + 6712197184 = 444136^2 + 81928^2 .

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 185932892 + ... + 185933988.

Almost surely, 2^203968983680 is an apocalyptic number.

203968983680 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 203968983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312916544010).

203968983680 is an abundant number, since it is smaller than the sum of its proper divisors (421864104340).

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

203968983680 is an equidigital number, since it uses as much as digits as its factorization.

203968983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 62.

The spelling of 203968983680 in words is "two hundred three billion, nine hundred sixty-eight million, nine hundred eighty-three thousand, six hundred eighty".