32505442000 has 80 divisors (see below), whose sum is σ = 79172535312. Its totient is φ = 12907161600.

The previous prime is 32505441979. The next prime is 32505442033. The reversal of 32505442000 is 24450523.

It can be written as a sum of positive squares in 8 ways, for example, as 5581882944 + 26923559056 = 74712^2 + 164084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 214684 + ... + 333316.

Almost surely, 2^32505442000 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 32505442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39586267656).

32505442000 is an abundant number, since it is smaller than the sum of its proper divisors (46667093312).

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

32505442000 is a wasteful number, since it uses less digits than its factorization.

32505442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118793 (or 118777 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 32505442000 its reverse (24450523), we get a palindrome (32529892523).

The spelling of 32505442000 in words is "thirty-two billion, five hundred five million, four hundred forty-two thousand".