82111760604 has 144 divisors (see below), whose sum is σ = 225383558400. Its totient is φ = 25137649152.

The previous prime is 82111760603. The next prime is 82111760611. The reversal of 82111760604 is 40606711128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82111760603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081092 + ... + 2120180.

It is an arithmetic number, because the mean of its divisors is an integer number (1565163600).

Almost surely, 2^82111760604 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 82111760604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112691779200).

82111760604 is an abundant number, since it is smaller than the sum of its proper divisors (143271797796).

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

82111760604 is a wasteful number, since it uses less digits than its factorization.

82111760604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39224 (or 39219 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 821117 and 60604, that added together give a square (881721 = 939²).

The spelling of 82111760604 in words is "eighty-two billion, one hundred eleven million, seven hundred sixty thousand, six hundred four".