200019408964992 has 384 divisors, whose sum is σ = 611389321920000. Its totient is φ = 62550006300672.

The previous prime is 200019408964951. The next prime is 200019408965021. The reversal of 200019408964992 is 299469804910002.

200019408964992 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 19 + 40 + 8 + 96 + 499 + 2 = 666.

200019408964992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33176213434 + ... + 33176219462.

It is an arithmetic number, because the mean of its divisors is an integer number (1592159692500).

Almost surely, 2^{200019408964992} 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 200019408964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305694660960000).

200019408964992 is an abundant number, since it is smaller than the sum of its proper divisors (411369912955008).

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

200019408964992 is a wasteful number, since it uses less digits than its factorization.

200019408964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11203 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 200019408964992 in words is "two hundred trillion, nineteen billion, four hundred eight million, nine hundred sixty-four thousand, nine hundred ninety-two".