200855425680000 has 7680 divisors, whose sum is σ = 1017938115532800. Its totient is φ = 38459473920000.

The previous prime is 200855425679959. The next prime is 200855425680047. The reversal of 200855425680000 is 86524558002.

It is a happy number.

200855425680000 is a `hidden beast` number, since 2 + 0 + 0 + 85 + 5 + 4 + 2 + 568 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 725109839862 + ... + 725109840138.

It is an arithmetic number, because the mean of its divisors is an integer number (132544025460).

Almost surely, 2^{200855425680000} is an apocalyptic number.

200855425680000 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 200855425680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508969057766400).

200855425680000 is an abundant number, since it is smaller than the sum of its proper divisors (817082689852800).

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

200855425680000 is a wasteful number, since it uses less digits than its factorization.

200855425680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 200855425680000 in words is "two hundred trillion, eight hundred fifty-five billion, four hundred twenty-five million, six hundred eighty thousand".