32425545600 has 288 divisors, whose sum is σ = 132231425040. Its totient is φ = 7411507200.

The previous prime is 32425545577. The next prime is 32425545623. The reversal of 32425545600 is 654552423.

32425545600 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 5 + 5 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (32425545577) and next prime (32425545623).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 121180 + ... + 282020.

Almost surely, 2^32425545600 is an apocalyptic number.

32425545600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32425545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66115712520).

32425545600 is an abundant number, since it is smaller than the sum of its proper divisors (99805879440).

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

32425545600 is a wasteful number, since it uses less digits than its factorization.

32425545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160878 (or 160858 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 32425545600 in words is "thirty-two billion, four hundred twenty-five million, five hundred forty-five thousand, six hundred".