82425930804 has 240 divisors, whose sum is σ = 255279024000. Its totient is φ = 22691176704.

The previous prime is 82425930761. The next prime is 82425930869. The reversal of 82425930804 is 40803952428.

It is a self number, because there is not a number n which added to its sum of digits gives 82425930804.

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 79 ways as a sum of consecutive naturals, for example, 42290422 + ... + 42292370.

It is an arithmetic number, because the mean of its divisors is an integer number (1063662600).

Almost surely, 2^82425930804 is an apocalyptic number.

82425930804 is a gapful number since it is divisible by the number (84) 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 82425930804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127639512000).

82425930804 is an abundant number, since it is smaller than the sum of its proper divisors (172853093196).

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

82425930804 is a wasteful number, since it uses less digits than its factorization.

82425930804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82425930804 in words is "eighty-two billion, four hundred twenty-five million, nine hundred thirty thousand, eight hundred four".