82181644800 has 720 divisors, whose sum is σ = 299290549536. Its totient is φ = 19808256000.

The previous prime is 82181644799. The next prime is 82181644823. The reversal of 82181644800 is 844618128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627340735 + ... + 627340865.

Almost surely, 2^82181644800 is an apocalyptic number.

82181644800 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 82181644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149645274768).

82181644800 is an abundant number, since it is smaller than the sum of its proper divisors (217108904736).

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

82181644800 is a wasteful number, since it uses less digits than its factorization.

82181644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 82181644800 in words is "eighty-two billion, one hundred eighty-one million, six hundred forty-four thousand, eight hundred".