32423226825600 has 1536 divisors, whose sum is σ = 142427509056000. Its totient is φ = 7116197068800.

The previous prime is 32423226825569. The next prime is 32423226825607. The reversal of 32423226825600 is 652862232423.

32423226825600 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 3 + 2 + 2 + 6 + 82 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32423226825607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362748915 + ... + 362838285.

It is an arithmetic number, because the mean of its divisors is an integer number (92726242875).

Almost surely, 2^{32423226825600} is an apocalyptic number.

32423226825600 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 32423226825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71213754528000).

32423226825600 is an abundant number, since it is smaller than the sum of its proper divisors (110004282230400).

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

32423226825600 is a wasteful number, since it uses less digits than its factorization.

32423226825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89453 (or 89430 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 32423226825600 in words is "thirty-two trillion, four hundred twenty-three billion, two hundred twenty-six million, eight hundred twenty-five thousand, six hundred".