82489885210960 has 320 divisors, whose sum is σ = 215114131814400. Its totient is φ = 29234243174400.

The previous prime is 82489885210949. The next prime is 82489885210981. The reversal of 82489885210960 is 6901258898428.

It is a self number, because there is not a number n which added to its sum of digits gives 82489885210960.

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 63 ways as a sum of consecutive naturals, for example, 6365444961 + ... + 6365457919.

It is an arithmetic number, because the mean of its divisors is an integer number (672231661920).

Almost surely, 2^{82489885210960} is an apocalyptic number.

82489885210960 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 82489885210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557065907200).

82489885210960 is an abundant number, since it is smaller than the sum of its proper divisors (132624246603440).

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

82489885210960 is a wasteful number, since it uses less digits than its factorization.

82489885210960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14544 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 70.

The spelling of 82489885210960 in words is "eighty-two trillion, four hundred eighty-nine billion, eight hundred eighty-five million, two hundred ten thousand, nine hundred sixty".