82824244000 has 48 divisors (see below), whose sum is σ = 203499177336. Its totient is φ = 33129696000.

The previous prime is 82824243989. The next prime is 82824244037. The reversal of 82824244000 is 44242828.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33683995024 + 49140248976 = 183532^2 + 221676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10349031 + ... + 10357030.

Almost surely, 2^82824244000 is an apocalyptic number.

82824244000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82824244000 is an abundant number, since it is smaller than the sum of its proper divisors (120674933336).

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

82824244000 is a wasteful number, since it uses less digits than its factorization.

82824244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20706086 (or 20706068 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 82824244000 its reverse (44242828), we get a palindrome (82868486828).

The spelling of 82824244000 in words is "eighty-two billion, eight hundred twenty-four million, two hundred forty-four thousand".