32053245120 has 336 divisors, whose sum is σ = 120244575360. Its totient is φ = 7789436928.

The previous prime is 32053245101. The next prime is 32053245127. The reversal of 32053245120 is 2154235023.

It is a happy number.

32053245120 is a `hidden beast` number, since 3 + 2 + 0 + 532 + 4 + 5 + 120 = 666.

It is not an unprimeable number, because it can be changed into a prime (32053245127) 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 47 ways as a sum of consecutive naturals, for example, 2952342 + ... + 2963178.

It is an arithmetic number, because the mean of its divisors is an integer number (357870760).

Almost surely, 2^32053245120 is an apocalyptic number.

32053245120 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 32053245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60122287680).

32053245120 is an abundant number, since it is smaller than the sum of its proper divisors (88191330240).

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

32053245120 is a wasteful number, since it uses less digits than its factorization.

32053245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 32053245120 in words is "thirty-two billion, fifty-three million, two hundred forty-five thousand, one hundred twenty".