531982498320 has 2880 divisors, whose sum is σ = 2534057809920. Its totient is φ = 98712649728.

The previous prime is 531982498319. The next prime is 531982498331. The reversal of 531982498320 is 23894289135.

531982498320 is a `hidden beast` number, since 5 + 31 + 98 + 2 + 498 + 32 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 11318776537 + ... + 11318776583.

It is an arithmetic number, because the mean of its divisors is an integer number (879881184).

Almost surely, 2^531982498320 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 531982498320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267028904960).

531982498320 is an abundant number, since it is smaller than the sum of its proper divisors (2002075311600).

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

531982498320 is a wasteful number, since it uses less digits than its factorization.

531982498320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 531982498320 in words is "five hundred thirty-one billion, nine hundred eighty-two million, four hundred ninety-eight thousand, three hundred twenty".