83391068160 has 336 divisors, whose sum is σ = 300024171720. Its totient is φ = 22235627520.

The previous prime is 83391068129. The next prime is 83391068179. The reversal of 83391068160 is 6186019338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 27 ways as a sum of consecutive naturals, for example, 7459375 + ... + 7470545.

Almost surely, 2^83391068160 is an apocalyptic number.

83391068160 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 83391068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150012085860).

83391068160 is an abundant number, since it is smaller than the sum of its proper divisors (216633103560).

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

83391068160 is an equidigital number, since it uses as much as digits as its factorization.

83391068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216 (or 11181 counting only the distinct ones).

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

The spelling of 83391068160 in words is "eighty-three billion, three hundred ninety-one million, sixty-eight thousand, one hundred sixty".