82020553924608 has 560 divisors, whose sum is σ = 264305141981496. Its totient is φ = 25196715048960.

The previous prime is 82020553924597. The next prime is 82020553924609. The reversal of 82020553924608 is 80642935502028.

82020553924608 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 0 + 5 + 5 + 3 + 9 + 24 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62972985544704 + 19047568379904 = 7935552^2 + 4364352^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82020553924609) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5632885648 + ... + 5632900208.

Almost surely, 2^{82020553924608} 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 82020553924608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132152570990748).

82020553924608 is an abundant number, since it is smaller than the sum of its proper divisors (182284588056888).

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

82020553924608 is a wasteful number, since it uses less digits than its factorization.

82020553924608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15232 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 82020553924608 in words is "eighty-two trillion, twenty billion, five hundred fifty-three million, nine hundred twenty-four thousand, six hundred eight".