208089161280 has 2688 divisors, whose sum is σ = 1054442188800. Its totient is φ = 36229939200.

The previous prime is 208089161279. The next prime is 208089161281. The reversal of 208089161280 is 82161980802.

It is a happy number.

208089161280 is a `hidden beast` number, since 20 + 8 + 0 + 8 + 9 + 1 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (208089161279) and next prime (208089161281).

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

It is not an unprimeable number, because it can be changed into a prime (208089161281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1588466815 + ... + 1588466945.

It is an arithmetic number, because the mean of its divisors is an integer number (392277600).

Almost surely, 2^208089161280 is an apocalyptic number.

208089161280 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 208089161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527221094400).

208089161280 is an abundant number, since it is smaller than the sum of its proper divisors (846353027520).

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

208089161280 is a wasteful number, since it uses less digits than its factorization.

208089161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 208089161280 in words is "two hundred eight billion, eighty-nine million, one hundred sixty-one thousand, two hundred eighty".