82705944084480 has 816 divisors, whose sum is σ = 297920113231104. Its totient is φ = 22011240775680.

The previous prime is 82705944084457. The next prime is 82705944084503. The reversal of 82705944084480 is 8448044950728.

82705944084480 is a `hidden beast` number, since 8 + 2 + 70 + 5 + 9 + 4 + 4 + 0 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (82705944084457) and next prime (82705944084503).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 70628474295 + ... + 70628475465.

Almost surely, 2^{82705944084480} is an apocalyptic number.

82705944084480 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 82705944084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148960056615552).

82705944084480 is an abundant number, since it is smaller than the sum of its proper divisors (215214169146624).

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

82705944084480 is an frugal number, since it uses more digits than its factorization.

82705944084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 82705944084480 in words is "eighty-two trillion, seven hundred five billion, nine hundred forty-four million, eighty-four thousand, four hundred eighty".