208380106327680 has 768 divisors, whose sum is σ = 854123788627200. Its totient is φ = 47556636475392.

The previous prime is 208380106327661. The next prime is 208380106327733. The reversal of 208380106327680 is 86723601083802.

208380106327680 is a `hidden beast` number, since 2 + 0 + 83 + 80 + 106 + 327 + 68 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 710735356 + ... + 711028484.

It is an arithmetic number, because the mean of its divisors is an integer number (1112140349775).

Almost surely, 2^{208380106327680} is an apocalyptic number.

208380106327680 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 208380106327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427061894313600).

208380106327680 is an abundant number, since it is smaller than the sum of its proper divisors (645743682299520).

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

208380106327680 is an equidigital number, since it uses as much as digits as its factorization.

208380106327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293823 (or 293799 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 208380106327680 in words is "two hundred eight trillion, three hundred eighty billion, one hundred six million, three hundred twenty-seven thousand, six hundred eighty".