52318509120000 has 2000 divisors, whose sum is σ = 212262449679720. Its totient is φ = 12772048896000.

The previous prime is 52318509119993. The next prime is 52318509120019. The reversal of 52318509120000 is 2190581325.

52318509120000 is a `hidden beast` number, since 5 + 2 + 318 + 50 + 91 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 3705039823104 + 48613469296896 = 1924848^2 + 6972336^2 .

It is a tau number, because it is divible by the number of its divisors (2000).

It is a super-3 number, since 3×52318509120000³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 16303678396 + ... + 16303681604.

Almost surely, 2^{52318509120000} is an apocalyptic number.

52318509120000 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 52318509120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106131224839860).

52318509120000 is an abundant number, since it is smaller than the sum of its proper divisors (159943940559720).

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

52318509120000 is an equidigital number, since it uses as much as digits as its factorization.

52318509120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 52318509120000 in words is "fifty-two trillion, three hundred eighteen billion, five hundred nine million, one hundred twenty thousand".