208399806720 has 2160 divisors, whose sum is σ = 974416988160. Its totient is φ = 42138206208.

The previous prime is 208399806677. The next prime is 208399806743. The reversal of 208399806720 is 27608993802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1640943297 + ... + 1640943423.

It is an arithmetic number, because the mean of its divisors is an integer number (451118976).

Almost surely, 2^208399806720 is an apocalyptic number.

208399806720 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 208399806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487208494080).

208399806720 is an abundant number, since it is smaller than the sum of its proper divisors (766017181440).

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

208399806720 is a wasteful number, since it uses less digits than its factorization.

208399806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 208399806720 in words is "two hundred eight billion, three hundred ninety-nine million, eight hundred six thousand, seven hundred twenty".