523314312000200 has 384 divisors, whose sum is σ = 1423791671500800. Its totient is φ = 175163820948480.

The previous prime is 523314312000199. The next prime is 523314312000247. The reversal of 523314312000200 is 2000213413325.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 523314312000200.

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, 24242093807 + ... + 24242115393.

It is an arithmetic number, because the mean of its divisors is an integer number (3707790811200).

Almost surely, 2^{523314312000200} is an apocalyptic number.

523314312000200 is a gapful number since it is divisible by the number (50) 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 523314312000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711895835750400).

523314312000200 is an abundant number, since it is smaller than the sum of its proper divisors (900477359500600).

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

523314312000200 is a wasteful number, since it uses less digits than its factorization.

523314312000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23269 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 523314312000200 its reverse (2000213413325), we get a palindrome (525314525413525).

The spelling of 523314312000200 in words is "five hundred twenty-three trillion, three hundred fourteen billion, three hundred twelve million, two hundred", and thus it is an aban number.