532051604400 has 480 divisors, whose sum is σ = 1859799590208. Its totient is φ = 129489305600.

The previous prime is 532051604387. The next prime is 532051604443. The reversal of 532051604400 is 4406150235.

It is a super-2 number, since 2×532051604400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 144695362 + ... + 144699038.

Almost surely, 2^532051604400 is an apocalyptic number.

532051604400 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 532051604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929899795104).

532051604400 is an abundant number, since it is smaller than the sum of its proper divisors (1327747985808).

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

532051604400 is a wasteful number, since it uses less digits than its factorization.

532051604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 532051604400 its reverse (4406150235), we get a palindrome (536457754635).

The spelling of 532051604400 in words is "five hundred thirty-two billion, fifty-one million, six hundred four thousand, four hundred".