532585907712 has 480 divisors, whose sum is σ = 1665307163520. Its totient is φ = 163313418240.

The previous prime is 532585907653. The next prime is 532585907723. The reversal of 532585907712 is 217709585235.

532585907712 is a `hidden beast` number, since 5 + 32 + 5 + 8 + 590 + 7 + 7 + 12 = 666.

It is a super-3 number, since 3×532585907712³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907301083 + ... + 907301669.

It is an arithmetic number, because the mean of its divisors is an integer number (3469389924).

Almost surely, 2^532585907712 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 532585907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832653581760).

532585907712 is an abundant number, since it is smaller than the sum of its proper divisors (1132721255808).

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

532585907712 is a wasteful number, since it uses less digits than its factorization.

532585907712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 532585907712 in words is "five hundred thirty-two billion, five hundred eighty-five million, nine hundred seven thousand, seven hundred twelve".