532333312304400 has 1080 divisors, whose sum is σ = 2027062410607104. Its totient is φ = 129208902451200.

The previous prime is 532333312304363. The next prime is 532333312304407. The reversal of 532333312304400 is 4403213333235.

532333312304400 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 33 + 312 + 304 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (532333312304407) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 57506024572 + ... + 57506033828.

Almost surely, 2^{532333312304400} is an apocalyptic number.

532333312304400 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 532333312304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013531205303552).

532333312304400 is an abundant number, since it is smaller than the sum of its proper divisors (1494729098302704).

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

532333312304400 is a wasteful number, since it uses less digits than its factorization.

532333312304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 532333312304400 its reverse (4403213333235), we get a palindrome (536736525637635).

The spelling of 532333312304400 in words is "five hundred thirty-two trillion, three hundred thirty-three billion, three hundred twelve million, three hundred four thousand, four hundred".