82255540480 has 144 divisors (see below), whose sum is σ = 199413817344. Its totient is φ = 32506306560.

The previous prime is 82255540429. The next prime is 82255540489. The reversal of 82255540480 is 8404555228.

It is not an unprimeable number, because it can be changed into a prime (82255540489) 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 15 ways as a sum of consecutive naturals, for example, 38382289 + ... + 38384431.

It is an arithmetic number, because the mean of its divisors is an integer number (1384818176).

Almost surely, 2^82255540480 is an apocalyptic number.

82255540480 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 82255540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99706908672).

82255540480 is an abundant number, since it is smaller than the sum of its proper divisors (117158276864).

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

82255540480 is a wasteful number, since it uses less digits than its factorization.

82255540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The spelling of 82255540480 in words is "eighty-two billion, two hundred fifty-five million, five hundred forty thousand, four hundred eighty".