82826473860 has 480 divisors, whose sum is σ = 286868736000. Its totient is φ = 19880432640.

The previous prime is 82826473853. The next prime is 82826473861. The reversal of 82826473860 is 6837462828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82826473797 and 82826473806.

It is not an unprimeable number, because it can be changed into a prime (82826473861) 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 159 ways as a sum of consecutive naturals, for example, 237324966 + ... + 237325314.

It is an arithmetic number, because the mean of its divisors is an integer number (597643200).

Almost surely, 2^82826473860 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 82826473860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368000).

82826473860 is an abundant number, since it is smaller than the sum of its proper divisors (204042262140).

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

82826473860 is a wasteful number, since it uses less digits than its factorization.

82826473860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 82826473860 in words is "eighty-two billion, eight hundred twenty-six million, four hundred seventy-three thousand, eight hundred sixty".