531056010240 has 1584 divisors, whose sum is σ = 2299558270464. Its totient is φ = 117050572800.

The previous prime is 531056010197. The next prime is 531056010257. The reversal of 531056010240 is 42010650135.

531056010240 is a `hidden beast` number, since 5 + 3 + 10 + 5 + 601 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1889878900 + ... + 1889879180.

Almost surely, 2^531056010240 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 531056010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149779135232).

531056010240 is an abundant number, since it is smaller than the sum of its proper divisors (1768502260224).

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

531056010240 is a wasteful number, since it uses less digits than its factorization.

531056010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 531056010240 its reverse (42010650135), we get a palindrome (573066660375).

The spelling of 531056010240 in words is "five hundred thirty-one billion, fifty-six million, ten thousand, two hundred forty".