82935719172 has 72 divisors (see below), whose sum is σ = 222117831936. Its totient is φ = 26002308864.

The previous prime is 82935719161. The next prime is 82935719177. The reversal of 82935719172 is 27191753928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82935719177) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 925993 + ... + 1011599.

It is an arithmetic number, because the mean of its divisors is an integer number (3084969888).

Almost surely, 2^82935719172 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 82935719172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111058915968).

82935719172 is an abundant number, since it is smaller than the sum of its proper divisors (139182112764).

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

82935719172 is a wasteful number, since it uses less digits than its factorization.

82935719172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87217 (or 87212 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 82935719172 in words is "eighty-two billion, nine hundred thirty-five million, seven hundred nineteen thousand, one hundred seventy-two".