532556101728 has 1344 divisors, whose sum is σ = 2009581056000. Its totient is φ = 138265989120.

The previous prime is 532556101673. The next prime is 532556101771. The reversal of 532556101728 is 827101655235.

532556101728 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 5 + 610 + 1 + 7 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4712885800 + ... + 4712885912.

It is an arithmetic number, because the mean of its divisors is an integer number (1495224000).

Almost surely, 2^532556101728 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 532556101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004790528000).

532556101728 is an abundant number, since it is smaller than the sum of its proper divisors (1477024954272).

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

532556101728 is a wasteful number, since it uses less digits than its factorization.

532556101728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 532556101728 in words is "five hundred thirty-two billion, five hundred fifty-six million, one hundred one thousand, seven hundred twenty-eight".