531428253840 has 600 divisors, whose sum is σ = 2148170242680. Its totient is φ = 121249751040.

The previous prime is 531428253833. The next prime is 531428253841. The reversal of 531428253840 is 48352824135.

531428253840 is a `hidden beast` number, since 5 + 31 + 4 + 2 + 82 + 538 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123934977936 + 407493275904 = 352044^2 + 638352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (531428253841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13309426 + ... + 13349294.

Almost surely, 2^531428253840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531428253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074085121340).

531428253840 is an abundant number, since it is smaller than the sum of its proper divisors (1616741988840).

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

531428253840 is a wasteful number, since it uses less digits than its factorization.

531428253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39933 (or 39907 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 531428253840 in words is "five hundred thirty-one billion, four hundred twenty-eight million, two hundred fifty-three thousand, eight hundred forty".