82081447200 has 360 divisors, whose sum is σ = 302107265460. Its totient is φ = 21685708800.

The previous prime is 82081447153. The next prime is 82081447229. The reversal of 82081447200 is 274418028.

82081447200 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 1 + 447 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18195851664 + 63885595536 = 134892^2 + 252756^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7057390 + ... + 7069010.

Almost surely, 2^82081447200 is an apocalyptic number.

82081447200 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 82081447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151053632730).

82081447200 is an abundant number, since it is smaller than the sum of its proper divisors (220025818260).

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

82081447200 is a wasteful number, since it uses less digits than its factorization.

82081447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 82081447200 in words is "eighty-two billion, eighty-one million, four hundred forty-seven thousand, two hundred".