531412543200 has 864 divisors, whose sum is σ = 2185582113792. Its totient is φ = 109780070400.

The previous prime is 531412543147. The next prime is 531412543261. The reversal of 531412543200 is 2345214135.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400460937 + ... + 400462263.

It is an arithmetic number, because the mean of its divisors is an integer number (2529608928).

Almost surely, 2^531412543200 is an apocalyptic number.

531412543200 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 531412543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092791056896).

531412543200 is an abundant number, since it is smaller than the sum of its proper divisors (1654169570592).

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

531412543200 is a wasteful number, since it uses less digits than its factorization.

531412543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1552 counting only the distinct ones).

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

Adding to 531412543200 its reverse (2345214135), we get a palindrome (533757757335).

The spelling of 531412543200 in words is "five hundred thirty-one billion, four hundred twelve million, five hundred forty-three thousand, two hundred".