83232888320 has 80 divisors (see below), whose sum is σ = 201395391120. Its totient is φ = 32987602944.

The previous prime is 83232888293. The next prime is 83232888341. The reversal of 83232888320 is 2388823238.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129899 + ... + 428181.

It is an arithmetic number, because the mean of its divisors is an integer number (2517442389).

Almost surely, 2^83232888320 is an apocalyptic number.

83232888320 is a gapful number since it is divisible by the number (80) 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 83232888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100697695560).

83232888320 is an abundant number, since it is smaller than the sum of its proper divisors (118162502800).

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

83232888320 is a wasteful number, since it uses less digits than its factorization.

83232888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298415 (or 298399 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 83232888320 in words is "eighty-three billion, two hundred thirty-two million, eight hundred eighty-eight thousand, three hundred twenty".