82326595570560 has 2048 divisors, whose sum is σ = 352308953088000. Its totient is φ = 18083268403200.

The previous prime is 82326595570519. The next prime is 82326595570601. The reversal of 82326595570560 is 6507559562328.

It is a happy number.

82326595570560 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 6 + 5 + 9 + 5 + 570 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82326595570519) and next prime (82326595570601).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 10050856065 + ... + 10050864255.

It is an arithmetic number, because the mean of its divisors is an integer number (172025856000).

Almost surely, 2^{82326595570560} is an apocalyptic number.

82326595570560 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 82326595570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176154476544000).

82326595570560 is an abundant number, since it is smaller than the sum of its proper divisors (269982357517440).

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

82326595570560 is a wasteful number, since it uses less digits than its factorization.

82326595570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 82326595570560 in words is "eighty-two trillion, three hundred twenty-six billion, five hundred ninety-five million, five hundred seventy thousand, five hundred sixty".