82413855324480 has 224 divisors, whose sum is σ = 270120781421568. Its totient is φ = 21266830540800.

The previous prime is 82413855324443. The next prime is 82413855324481. The reversal of 82413855324480 is 8442355831428.

It is a self number, because there is not a number n which added to its sum of digits gives 82413855324480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82413855324481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567777994 + ... + 567923126.

It is an arithmetic number, because the mean of its divisors is an integer number (1205896345632).

Almost surely, 2^{82413855324480} is an apocalyptic number.

82413855324480 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 82413855324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135060390710784).

82413855324480 is an abundant number, since it is smaller than the sum of its proper divisors (187706926097088).

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

82413855324480 is a wasteful number, since it uses less digits than its factorization.

82413855324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164265 (or 164255 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 82413855324480 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, four hundred eighty".