82338586565760 has 768 divisors, whose sum is σ = 337950461721600. Its totient is φ = 18079774801920.

The previous prime is 82338586565759. The next prime is 82338586565887. The reversal of 82338586565760 is 6756568583328.

It is a happy number.

82338586565760 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 8 + 58 + 6 + 565 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 117506040 + ... + 118204680.

It is an arithmetic number, because the mean of its divisors is an integer number (440039663700).

Almost surely, 2^{82338586565760} is an apocalyptic number.

82338586565760 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 82338586565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168975230860800).

82338586565760 is an abundant number, since it is smaller than the sum of its proper divisors (255611875155840).

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

82338586565760 is a wasteful number, since it uses less digits than its factorization.

82338586565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698789 (or 698774 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 82338586565760 in words is "eighty-two trillion, three hundred thirty-eight billion, five hundred eighty-six million, five hundred sixty-five thousand, seven hundred sixty".