532438732800 has 936 divisors, whose sum is σ = 2162797509600. Its totient is φ = 124110766080.

The previous prime is 532438732789. The next prime is 532438732801. The reversal of 532438732800 is 8237834235.

532438732800 is a `hidden beast` number, since 5 + 3 + 243 + 87 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532438732801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 227634031 + ... + 227636369.

It is an arithmetic number, because the mean of its divisors is an integer number (2310681100).

Almost surely, 2^532438732800 is an apocalyptic number.

532438732800 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 532438732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081398754800).

532438732800 is an abundant number, since it is smaller than the sum of its proper divisors (1630358776800).

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

532438732800 is a wasteful number, since it uses less digits than its factorization.

532438732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 532438732800 in words is "five hundred thirty-two billion, four hundred thirty-eight million, seven hundred thirty-two thousand, eight hundred".