82424681300 has 72 divisors (see below), whose sum is σ = 193533675552. Its totient is φ = 30289392000.

The previous prime is 82424681291. The next prime is 82424681303. The reversal of 82424681300 is 318642428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82424681303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124055 + ... + 424545.

It is an arithmetic number, because the mean of its divisors is an integer number (2687967716).

Almost surely, 2^82424681300 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 82424681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96766837776).

82424681300 is an abundant number, since it is smaller than the sum of its proper divisors (111108994252).

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

82424681300 is a wasteful number, since it uses less digits than its factorization.

82424681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300729 (or 300722 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 82424681300 in words is "eighty-two billion, four hundred twenty-four million, six hundred eighty-one thousand, three hundred".