52359229440000 has 2560 divisors, whose sum is σ = 225630315187200. Its totient is φ = 11896160256000.

The previous prime is 52359229439987. The next prime is 52359229440013. The reversal of 52359229440000 is 4492295325.

52359229440000 is a `hidden beast` number, since 5 + 2 + 359 + 2 + 294 + 4 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52359229439987) and next prime (52359229440013).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 313528319917 + ... + 313528320083.

It is an arithmetic number, because the mean of its divisors is an integer number (88136841870).

Almost surely, 2^{52359229440000} is an apocalyptic number.

52359229440000 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 52359229440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112815157593600).

52359229440000 is an abundant number, since it is smaller than the sum of its proper divisors (173271085747200).

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

52359229440000 is an frugal number, since it uses more digits than its factorization.

52359229440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 52359229440000 in words is "fifty-two trillion, three hundred fifty-nine billion, two hundred twenty-nine million, four hundred forty thousand".