83291390208 has 360 divisors, whose sum is σ = 268748194176. Its totient is φ = 25505280000.

The previous prime is 83291390177. The next prime is 83291390227. The reversal of 83291390208 is 80209319238.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67660953 + ... + 67662183.

Almost surely, 2^83291390208 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 83291390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134374097088).

83291390208 is an abundant number, since it is smaller than the sum of its proper divisors (185456803968).

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

83291390208 is a wasteful number, since it uses less digits than its factorization.

83291390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 83291390208 in words is "eighty-three billion, two hundred ninety-one million, three hundred ninety thousand, two hundred eight".