208155400800 has 144 divisors (see below), whose sum is σ = 680986695312. Its totient is φ = 55226214400.

The previous prime is 208155400769. The next prime is 208155400801. The reversal of 208155400800 is 8004551802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208155400801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252670 + ... + 692930.

It is an arithmetic number, because the mean of its divisors is an integer number (4729074273).

Almost surely, 2^208155400800 is an apocalyptic number.

208155400800 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 208155400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340493347656).

208155400800 is an abundant number, since it is smaller than the sum of its proper divisors (472831294512).

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

208155400800 is a wasteful number, since it uses less digits than its factorization.

208155400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440481 (or 440468 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 208155400800 in words is "two hundred eight billion, one hundred fifty-five million, four hundred thousand, eight hundred".