200104312320 has 960 divisors, whose sum is σ = 784284374016. Its totient is φ = 46734704640.

The previous prime is 200104312319. The next prime is 200104312391. The reversal of 200104312320 is 23213401002.

200104312320 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 431 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200104312293 and 200104312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274549682 + ... + 1274549838.

Almost surely, 2^200104312320 is an apocalyptic number.

200104312320 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 200104312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392142187008).

200104312320 is an abundant number, since it is smaller than the sum of its proper divisors (584180061696).

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

200104312320 is a wasteful number, since it uses less digits than its factorization.

200104312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200104312320 its reverse (23213401002), we get a palindrome (223317713322).

The spelling of 200104312320 in words is "two hundred billion, one hundred four million, three hundred twelve thousand, three hundred twenty".