82404419200 has 48 divisors (see below), whose sum is σ = 203564674710. Its totient is φ = 32961766400.

The previous prime is 82404419183. The next prime is 82404419267. The reversal of 82404419200 is 291440428.

It can be written as a sum of positive squares in 3 ways, for example, as 79149944896 + 3254474304 = 281336^2 + 57048^2 .

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 5 ways as a sum of consecutive naturals, for example, 12872491 + ... + 12878890.

Almost surely, 2^82404419200 is an apocalyptic number.

82404419200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82404419200 is an abundant number, since it is smaller than the sum of its proper divisors (121160255510).

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

82404419200 is a wasteful number, since it uses less digits than its factorization.

82404419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25751405 (or 25751388 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 82404419200 its reverse (291440428), we get a palindrome (82695859628).

The spelling of 82404419200 in words is "eighty-two billion, four hundred four million, four hundred nineteen thousand, two hundred".