531865362960 has 240 divisors, whose sum is σ = 1880793907200. Its totient is φ = 134322886656.

The previous prime is 531865362949. The next prime is 531865363039. The reversal of 531865362960 is 69263568135.

It is a happy number.

531865362960 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 6 + 5 + 3 + 629 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 531865362897 and 531865362906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84033076 + ... + 84039404.

It is an arithmetic number, because the mean of its divisors is an integer number (7836641280).

Almost surely, 2^531865362960 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 531865362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940396953600).

531865362960 is an abundant number, since it is smaller than the sum of its proper divisors (1348928544240).

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

531865362960 is a wasteful number, since it uses less digits than its factorization.

531865362960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 531865362960 in words is "five hundred thirty-one billion, eight hundred sixty-five million, three hundred sixty-two thousand, nine hundred sixty".