531738708480 has 640 divisors, whose sum is σ = 2178991964160. Its totient is φ = 120392663040.

The previous prime is 531738708467. The next prime is 531738708491. The reversal of 531738708480 is 84807837135.

531738708480 is a `hidden beast` number, since 53 + 17 + 38 + 70 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51765745 + ... + 51776015.

It is an arithmetic number, because the mean of its divisors is an integer number (3404674944).

Almost surely, 2^531738708480 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 531738708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089495982080).

531738708480 is an abundant number, since it is smaller than the sum of its proper divisors (1647253255680).

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

531738708480 is a wasteful number, since it uses less digits than its factorization.

531738708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 531738708480 in words is "five hundred thirty-one billion, seven hundred thirty-eight million, seven hundred eight thousand, four hundred eighty".