200409088896 has 256 divisors, whose sum is σ = 635872896000. Its totient is φ = 61939593216.

The previous prime is 200409088883. The next prime is 200409088907. The reversal of 200409088896 is 698880904002.

200409088896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3053740 + ... + 3118676.

It is an arithmetic number, because the mean of its divisors is an integer number (2483878500).

Almost surely, 2^200409088896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200409088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317936448000).

200409088896 is an abundant number, since it is smaller than the sum of its proper divisors (435463807104).

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

200409088896 is a wasteful number, since it uses less digits than its factorization.

200409088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65026 (or 65008 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 200409088896 in words is "two hundred billion, four hundred nine million, eighty-eight thousand, eight hundred ninety-six".