531264855400 has 96 divisors (see below), whose sum is σ = 1284204055680. Its totient is φ = 204228288000.

The previous prime is 531264855389. The next prime is 531264855403. The reversal of 531264855400 is 4558462135.

It is not an unprimeable number, because it can be changed into a prime (531264855403) 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 23 ways as a sum of consecutive naturals, for example, 65905 + ... + 1032895.

It is an arithmetic number, because the mean of its divisors is an integer number (13377125580).

Almost surely, 2^531264855400 is an apocalyptic number.

531264855400 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 531264855400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642102027840).

531264855400 is an abundant number, since it is smaller than the sum of its proper divisors (752939200280).

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

531264855400 is a wasteful number, since it uses less digits than its factorization.

531264855400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967115 (or 967106 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 531264855400 in words is "five hundred thirty-one billion, two hundred sixty-four million, eight hundred fifty-five thousand, four hundred".