82541203200 has 270 divisors, whose sum is σ = 305194353464. Its totient is φ = 22010849280.

The previous prime is 82541203193. The next prime is 82541203271. The reversal of 82541203200 is 230214528.

82541203200 is a `hidden beast` number, since 8 + 254 + 1 + 203 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 438789 + ... + 598011.

Almost surely, 2^82541203200 is an apocalyptic number.

82541203200 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 82541203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152597176732).

82541203200 is an abundant number, since it is smaller than the sum of its proper divisors (222653150264).

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

82541203200 is a wasteful number, since it uses less digits than its factorization.

82541203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159261 (or 159233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 82541203200 its reverse (230214528), we get a palindrome (82771417728).

The spelling of 82541203200 in words is "eighty-two billion, five hundred forty-one million, two hundred three thousand, two hundred".