52353907200 has 1920 divisors, whose sum is σ = 248426956800. Its totient is φ = 10510663680.

The previous prime is 52353907187. The next prime is 52353907201. The reversal of 52353907200 is 270935325.

52353907200 is a `hidden beast` number, since 52 + 3 + 539 + 0 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52353907201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 781401567 + ... + 781401633.

It is an arithmetic number, because the mean of its divisors is an integer number (129389040).

Almost surely, 2^52353907200 is an apocalyptic number.

52353907200 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 52353907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124213478400).

52353907200 is an abundant number, since it is smaller than the sum of its proper divisors (196073049600).

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

52353907200 is a wasteful number, since it uses less digits than its factorization.

52353907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 52353907200 in words is "fifty-two billion, three hundred fifty-three million, nine hundred seven thousand, two hundred".