82255896576 has 336 divisors, whose sum is σ = 281663875584. Its totient is φ = 23497703424.

The previous prime is 82255896571. The next prime is 82255896607. The reversal of 82255896576 is 67569855228.

82255896576 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 58 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82255896571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13931641 + ... + 13937543.

It is an arithmetic number, because the mean of its divisors is an integer number (838285344).

Almost surely, 2^82255896576 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 82255896576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140831937792).

82255896576 is an abundant number, since it is smaller than the sum of its proper divisors (199407979008).

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

82255896576 is an frugal number, since it uses more digits than its factorization.

82255896576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5915 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 82255896576 in words is "eighty-two billion, two hundred fifty-five million, eight hundred ninety-six thousand, five hundred seventy-six".