83048075128320 has 320 divisors, whose sum is σ = 266902804270080. Its totient is φ = 22028783616000.

The previous prime is 83048075128303. The next prime is 83048075128367. The reversal of 83048075128320 is 2382157084038.

83048075128320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3080519001 + ... + 3080545959.

It is an arithmetic number, because the mean of its divisors is an integer number (834071263344).

Almost surely, 2^{83048075128320} is an apocalyptic number.

83048075128320 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 83048075128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133451402135040).

83048075128320 is an abundant number, since it is smaller than the sum of its proper divisors (183854729141760).

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

83048075128320 is a wasteful number, since it uses less digits than its factorization.

83048075128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29097 (or 29081 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 83048075128320 in words is "eighty-three trillion, forty-eight billion, seventy-five million, one hundred twenty-eight thousand, three hundred twenty".