82489783824 has 180 divisors, whose sum is σ = 268817759964. Its totient is φ = 23544815616.

The previous prime is 82489783819. The next prime is 82489783837. The reversal of 82489783824 is 42838798428.

82489783824 is a `hidden beast` number, since 8 + 2 + 489 + 78 + 3 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12387690000 + 70102093824 = 111300^2 + 264768^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7735104 + ... + 7745760.

Almost surely, 2^82489783824 is an apocalyptic number.

82489783824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82489783824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134408879982).

82489783824 is an abundant number, since it is smaller than the sum of its proper divisors (186327976140).

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

82489783824 is a wasteful number, since it uses less digits than its factorization.

82489783824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11766 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 82489783824 in words is "eighty-two billion, four hundred eighty-nine million, seven hundred eighty-three thousand, eight hundred twenty-four".