532106088960 has 160 divisors (see below), whose sum is σ = 1708383156480. Its totient is φ = 141285490688.

The previous prime is 532106088929. The next prime is 532106088961. The reversal of 532106088960 is 69880601235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (532106088961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640761 + ... + 1938119.

It is an arithmetic number, because the mean of its divisors is an integer number (10677394728).

Almost surely, 2^532106088960 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 532106088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854191578240).

532106088960 is an abundant number, since it is smaller than the sum of its proper divisors (1176277067520).

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

532106088960 is a wasteful number, since it uses less digits than its factorization.

532106088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297618 (or 297602 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 532106088960 in words is "five hundred thirty-two billion, one hundred six million, eighty-eight thousand, nine hundred sixty".