82024106304000 has 640 divisors, whose sum is σ = 311958904637952. Its totient is φ = 18730878566400.

The previous prime is 82024106303989. The next prime is 82024106304037. The reversal of 82024106304000 is 40360142028.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468964082 + ... + 1469019918.

Almost surely, 2^{82024106304000} is an apocalyptic number.

82024106304000 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 82024106304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155979452318976).

82024106304000 is an abundant number, since it is smaller than the sum of its proper divisors (229934798333952).

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

82024106304000 is a wasteful number, since it uses less digits than its factorization.

82024106304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56973 (or 56947 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 82024106304000 its reverse (40360142028), we get a palindrome (82064466446028).

The spelling of 82024106304000 in words is "eighty-two trillion, twenty-four billion, one hundred six million, three hundred four thousand".