82492824096 has 288 divisors, whose sum is σ = 252088200000. Its totient is φ = 25512689664.

The previous prime is 82492824091. The next prime is 82492824103. The reversal of 82492824096 is 69042829428.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (82492824091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55031155 + ... + 55032653.

It is an arithmetic number, because the mean of its divisors is an integer number (875306250).

Almost surely, 2^82492824096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82492824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100000).

82492824096 is an abundant number, since it is smaller than the sum of its proper divisors (169595375904).

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

82492824096 is a wasteful number, since it uses less digits than its factorization.

82492824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 82492824096 in words is "eighty-two billion, four hundred ninety-two million, eight hundred twenty-four thousand, ninety-six".