208023873820 has 288 divisors, whose sum is σ = 566154417024. Its totient is φ = 63712051200.

The previous prime is 208023873817. The next prime is 208023873853. The reversal of 208023873820 is 28378320802.

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, 25269105 + ... + 25277335.

It is an arithmetic number, because the mean of its divisors is an integer number (1965813948).

Almost surely, 2^208023873820 is an apocalyptic number.

208023873820 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 208023873820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283077208512).

208023873820 is an abundant number, since it is smaller than the sum of its proper divisors (358130543204).

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

208023873820 is a wasteful number, since it uses less digits than its factorization.

208023873820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 208023873820 in words is "two hundred eight billion, twenty-three million, eight hundred seventy-three thousand, eight hundred twenty".