82003527272960 has 160 divisors (see below), whose sum is σ = 199569788858880. Its totient is φ = 32308769636352.

The previous prime is 82003527272869. The next prime is 82003527272999. The reversal of 82003527272960 is 6927272530028.

It is a happy number.

82003527272960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 2848418246 + ... + 2848447034.

It is an arithmetic number, because the mean of its divisors is an integer number (1247311180368).

Almost surely, 2^{82003527272960} is an apocalyptic number.

82003527272960 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 82003527272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99784894429440).

82003527272960 is an abundant number, since it is smaller than the sum of its proper divisors (117566261585920).

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

82003527272960 is a wasteful number, since it uses less digits than its factorization.

82003527272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45486 (or 45470 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 82003527272960 in words is "eighty-two trillion, three billion, five hundred twenty-seven million, two hundred seventy-two thousand, nine hundred sixty".