32505442020 has 192 divisors, whose sum is σ = 104041324800. Its totient is φ = 8419230720.

The previous prime is 32505441979. The next prime is 32505442033. The reversal of 32505442020 is 2024450523.

It is a happy number.

32505442020 is a `hidden beast` number, since 32 + 50 + 544 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16162815 + ... + 16164825.

It is an arithmetic number, because the mean of its divisors is an integer number (541881900).

Almost surely, 2^32505442020 is an apocalyptic number.

32505442020 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 32505442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020662400).

32505442020 is an abundant number, since it is smaller than the sum of its proper divisors (71535882780).

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

32505442020 is a wasteful number, since it uses less digits than its factorization.

32505442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 32505442020 its reverse (2024450523), we get a palindrome (34529892543).

The spelling of 32505442020 in words is "thirty-two billion, five hundred five million, four hundred forty-two thousand, twenty".