83208065160 has 192 divisors, whose sum is σ = 274613250240. Its totient is φ = 20154534400.

The previous prime is 83208065159. The next prime is 83208065177. The reversal of 83208065160 is 6156080238.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 29082130 + ... + 29084990.

It is an arithmetic number, because the mean of its divisors is an integer number (1430277345).

Almost surely, 2^83208065160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83208065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137306625120).

83208065160 is an abundant number, since it is smaller than the sum of its proper divisors (191405185080).

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

83208065160 is a wasteful number, since it uses less digits than its factorization.

83208065160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 83208065160 in words is "eighty-three billion, two hundred eight million, sixty-five thousand, one hundred sixty".