208038912000 has 448 divisors, whose sum is σ = 697657866048. Its totient is φ = 55050240000.

The previous prime is 208038911981. The next prime is 208038912017. The reversal of 208038912000 is 219830802.

It is a super-2 number, since 2×208038912000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740351860 + ... + 740352140.

Almost surely, 2^208038912000 is an apocalyptic number.

208038912000 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 208038912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828933024).

208038912000 is an abundant number, since it is smaller than the sum of its proper divisors (489618954048).

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

208038912000 is an equidigital number, since it uses as much as digits as its factorization.

208038912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 208038912000 in words is "two hundred eight billion, thirty-eight million, nine hundred twelve thousand".