32505214400 has 84 divisors (see below), whose sum is σ = 80398327392. Its totient is φ = 12934594560.

The previous prime is 32505214397. The next prime is 32505214403. The reversal of 32505214400 is 441250523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32505214397) and next prime (32505214403).

It is a self number, because there is not a number n which added to its sum of digits gives 32505214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32505214403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 256169 + ... + 361431.

Almost surely, 2^32505214400 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 32505214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40199163696).

32505214400 is an abundant number, since it is smaller than the sum of its proper divisors (47893112992).

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

32505214400 is a wasteful number, since it uses less digits than its factorization.

32505214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105478 (or 105463 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 32505214400 its reverse (441250523), we get a palindrome (32946464923).

The spelling of 32505214400 in words is "thirty-two billion, five hundred five million, two hundred fourteen thousand, four hundred".