208225680000 has 320 divisors, whose sum is σ = 744329863200. Its totient is φ = 51254784000.

The previous prime is 208225679933. The next prime is 208225680001. The reversal of 208225680000 is 86522802.

208225680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×208225680000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208225680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3086631 + ... + 3153369.

Almost surely, 2^208225680000 is an apocalyptic number.

208225680000 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 208225680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372164931600).

208225680000 is an abundant number, since it is smaller than the sum of its proper divisors (536104183200).

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

208225680000 is an equidigital number, since it uses as much as digits as its factorization.

208225680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66789 (or 66762 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 208225680000 in words is "two hundred eight billion, two hundred twenty-five million, six hundred eighty thousand".