83725105160 has 64 divisors (see below), whose sum is σ = 193921182000. Its totient is φ = 32509403136.

The previous prime is 83725105159. The next prime is 83725105169. The reversal of 83725105160 is 6150152738.

It can be written as a sum of positive squares in 8 ways, for example, as 53276949124 + 30448156036 = 230818^2 + 174494^2 .

It is not an unprimeable number, because it can be changed into a prime (83725105169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575516 + ... + 706164.

Almost surely, 2^83725105160 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 83725105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96960591000).

83725105160 is an abundant number, since it is smaller than the sum of its proper divisors (110196076840).

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

83725105160 is a wasteful number, since it uses less digits than its factorization.

83725105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131130 (or 131126 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

Adding to 83725105160 its reverse (6150152738), we get a palindrome (89875257898).

The spelling of 83725105160 in words is "eighty-three billion, seven hundred twenty-five million, one hundred five thousand, one hundred sixty".