83522312142160 has 160 divisors (see below), whose sum is σ = 201200379494400. Its totient is φ = 32206382960640.

The previous prime is 83522312142119. The next prime is 83522312142187. The reversal of 83522312142160 is 6124121322538.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4078426801 + ... + 4078447279.

It is an arithmetic number, because the mean of its divisors is an integer number (1257502371840).

Almost surely, 2^{83522312142160} is an apocalyptic number.

83522312142160 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 83522312142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100600189747200).

83522312142160 is an abundant number, since it is smaller than the sum of its proper divisors (117678067352240).

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

83522312142160 is a wasteful number, since it uses less digits than its factorization.

83522312142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23189 (or 23183 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

Adding to 83522312142160 its reverse (6124121322538), we get a palindrome (89646433464698).

The spelling of 83522312142160 in words is "eighty-three trillion, five hundred twenty-two billion, three hundred twelve million, one hundred forty-two thousand, one hundred sixty".