531804528000 has 1536 divisors, whose sum is σ = 2182413542400. Its totient is φ = 128098713600.

The previous prime is 531804527999. The next prime is 531804528007. The reversal of 531804528000 is 825408135.

It is a happy number.

531804528000 is a `hidden beast` number, since 53 + 1 + 80 + 4 + 528 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531804528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1699055844 + ... + 1699056156.

It is an arithmetic number, because the mean of its divisors is an integer number (1420842150).

Almost surely, 2^531804528000 is an apocalyptic number.

531804528000 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 531804528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091206771200).

531804528000 is an abundant number, since it is smaller than the sum of its proper divisors (1650609014400).

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

531804528000 is a wasteful number, since it uses less digits than its factorization.

531804528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 531804528000 in words is "five hundred thirty-one billion, eight hundred four million, five hundred twenty-eight thousand".