532247428800 has 252 divisors, whose sum is σ = 1894467581136. Its totient is φ = 141727488000.

The previous prime is 532247428771. The next prime is 532247428819. The reversal of 532247428800 is 8824742235.

532247428800 is a `hidden beast` number, since 5 + 322 + 47 + 4 + 288 + 0 + 0 = 666.

It is a super-2 number, since 2×532247428800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10068037 + ... + 10120763.

Almost surely, 2^532247428800 is an apocalyptic number.

532247428800 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 532247428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947233790568).

532247428800 is an abundant number, since it is smaller than the sum of its proper divisors (1362220152336).

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

532247428800 is a wasteful number, since it uses less digits than its factorization.

532247428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53456 (or 53438 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 532247428800 in words is "five hundred thirty-two billion, two hundred forty-seven million, four hundred twenty-eight thousand, eight hundred".