82080281525760 has 1920 divisors, whose sum is σ = 354903284736000. Its totient is φ = 18154543841280.

The previous prime is 82080281525747. The next prime is 82080281525773. The reversal of 82080281525760 is 6752518208028.

82080281525760 is a `hidden beast` number, since 8 + 20 + 8 + 0 + 28 + 1 + 525 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82080281525747) and next prime (82080281525773).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82080281525697 and 82080281525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6614570436 + ... + 6614582844.

It is an arithmetic number, because the mean of its divisors is an integer number (184845460800).

Almost surely, 2^{82080281525760} is an apocalyptic number.

82080281525760 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 82080281525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177451642368000).

82080281525760 is an abundant number, since it is smaller than the sum of its proper divisors (272823003210240).

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

82080281525760 is an equidigital number, since it uses as much as digits as its factorization.

82080281525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 82080281525760 in words is "eighty-two trillion, eighty billion, two hundred eighty-one million, five hundred twenty-five thousand, seven hundred sixty".