32082905088 has 768 divisors, whose sum is σ = 112825440000. Its totient is φ = 9029615616.

The previous prime is 32082905083. The next prime is 32082905159. The reversal of 32082905088 is 88050928023.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (32082905081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106307058 + ... + 1106307086.

It is an arithmetic number, because the mean of its divisors is an integer number (146908125).

Almost surely, 2^32082905088 is an apocalyptic number.

32082905088 is a gapful number since it is divisible by the number (38) 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 32082905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56412720000).

32082905088 is an abundant number, since it is smaller than the sum of its proper divisors (80742534912).

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

32082905088 is an equidigital number, since it uses as much as digits as its factorization.

32082905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 32082905088 in words is "thirty-two billion, eighty-two million, nine hundred five thousand, eighty-eight".