83202107160 has 128 divisors (see below), whose sum is σ = 261055872000. Its totient is φ = 21173915136.

The previous prime is 83202107143. The next prime is 83202107173. The reversal of 83202107160 is 6170120238.

It is a super-4 number, since 4×83202107160⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1177306 + ... + 1245974.

It is an arithmetic number, because the mean of its divisors is an integer number (2039499000).

Almost surely, 2^83202107160 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 83202107160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130527936000).

83202107160 is an abundant number, since it is smaller than the sum of its proper divisors (177853764840).

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

83202107160 is a wasteful number, since it uses less digits than its factorization.

83202107160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69145 (or 69141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 83202107160 its reverse (6170120238), we get a palindrome (89372227398).

The spelling of 83202107160 in words is "eighty-three billion, two hundred two million, one hundred seven thousand, one hundred sixty".