208812226560 has 192 divisors, whose sum is σ = 763470489600. Its totient is φ = 47728459776.

The previous prime is 208812226549. The next prime is 208812226561. The reversal of 208812226560 is 65622218802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208812226561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270480 + ... + 700559.

It is an arithmetic number, because the mean of its divisors is an integer number (3976408800).

Almost surely, 2^208812226560 is an apocalyptic number.

208812226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208812226560 is an abundant number, since it is smaller than the sum of its proper divisors (554658263040).

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

208812226560 is an equidigital number, since it uses as much as digits as its factorization.

208812226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971076 (or 971056 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 208812226560 in words is "two hundred eight billion, eight hundred twelve million, two hundred twenty-six thousand, five hundred sixty".