82530738944280 has 288 divisors, whose sum is σ = 294978699222480. Its totient is φ = 19997070297600.

The previous prime is 82530738944279. The next prime is 82530738944281. The reversal of 82530738944280 is 8244983703528.

82530738944280 is a `hidden beast` number, since 8 + 2 + 5 + 30 + 7 + 3 + 89 + 442 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82530738944279) and next prime (82530738944281).

It is a super-4 number, since 4×82530738944280⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82530738944281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83623774 + ... + 84604946.

Almost surely, 2^{82530738944280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82530738944280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147489349611240).

82530738944280 is an abundant number, since it is smaller than the sum of its proper divisors (212447960278200).

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

82530738944280 is a wasteful number, since it uses less digits than its factorization.

82530738944280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983143 (or 983125 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 82530738944280 in words is "eighty-two trillion, five hundred thirty billion, seven hundred thirty-eight million, nine hundred forty-four thousand, two hundred eighty".