208253239680 has 256 divisors, whose sum is σ = 672540019200. Its totient is φ = 54808461312.

The previous prime is 208253239679. The next prime is 208253239699. The reversal of 208253239680 is 86932352802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47081949 + ... + 47086371.

It is an arithmetic number, because the mean of its divisors is an integer number (2627109450).

Almost surely, 2^208253239680 is an apocalyptic number.

208253239680 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 208253239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336270009600).

208253239680 is an abundant number, since it is smaller than the sum of its proper divisors (464286779520).

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

208253239680 is a wasteful number, since it uses less digits than its factorization.

208253239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

It can be divided in two parts, 2082532 and 39680, that added together give a palindrome (2122212).

The spelling of 208253239680 in words is "two hundred eight billion, two hundred fifty-three million, two hundred thirty-nine thousand, six hundred eighty".