32008005120 has 640 divisors, whose sum is σ = 127151861760. Its totient is φ = 6728417280.

The previous prime is 32008005101. The next prime is 32008005143. The reversal of 32008005120 is 2150080023.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 118110585 + ... + 118110855.

It is an arithmetic number, because the mean of its divisors is an integer number (198674784).

Almost surely, 2^32008005120 is an apocalyptic number.

32008005120 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 32008005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63575930880).

32008005120 is an abundant number, since it is smaller than the sum of its proper divisors (95143856640).

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

32008005120 is an equidigital number, since it uses as much as digits as its factorization.

32008005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 32008005120 its reverse (2150080023), we get a palindrome (34158085143).

The spelling of 32008005120 in words is "thirty-two billion, eight million, five thousand, one hundred twenty".