82384881600 has 336 divisors, whose sum is σ = 325164704000. Its totient is φ = 17839595520.

The previous prime is 82384881583. The next prime is 82384881611. The reversal of 82384881600 is 618848328.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82384881600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573876 + ... + 702924.

Almost surely, 2^82384881600 is an apocalyptic number.

82384881600 is a gapful number since it is divisible by the number (80) 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 82384881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162582352000).

82384881600 is an abundant number, since it is smaller than the sum of its proper divisors (242779822400).

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

82384881600 is a wasteful number, since it uses less digits than its factorization.

82384881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129100 (or 129085 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 82384881600 in words is "eighty-two billion, three hundred eighty-four million, eight hundred eighty-one thousand, six hundred".