208967109120 has 1920 divisors, whose sum is σ = 967309516800. Its totient is φ = 42268262400.

The previous prime is 208967109103. The next prime is 208967109121. The reversal of 208967109120 is 21901769802.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208967109121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2645153241 + ... + 2645153319.

It is an arithmetic number, because the mean of its divisors is an integer number (503807040).

Almost surely, 2^208967109120 is an apocalyptic number.

208967109120 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 208967109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483654758400).

208967109120 is an abundant number, since it is smaller than the sum of its proper divisors (758342407680).

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

208967109120 is a wasteful number, since it uses less digits than its factorization.

208967109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 208967109120 in words is "two hundred eight billion, nine hundred sixty-seven million, one hundred nine thousand, one hundred twenty".