52364433139200 has 6480 divisors, whose sum is σ = 260086857750720. Its totient is φ = 10369008599040.

The previous prime is 52364433139141. The next prime is 52364433139243. The reversal of 52364433139200 is 293133446325.

It is a happy number.

52364433139200 is a `hidden beast` number, since 5 + 2 + 3 + 6 + 4 + 433 + 1 + 3 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 489387225547 + ... + 489387225653.

It is an arithmetic number, because the mean of its divisors is an integer number (40136860764).

Almost surely, 2^{52364433139200} is an apocalyptic number.

52364433139200 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 52364433139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130043428875360).

52364433139200 is an abundant number, since it is smaller than the sum of its proper divisors (207722424611520).

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

52364433139200 is a wasteful number, since it uses less digits than its factorization.

52364433139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 52364433139200 in words is "fifty-two trillion, three hundred sixty-four billion, four hundred thirty-three million, one hundred thirty-nine thousand, two hundred".