82026270024600 has 192 divisors, whose sum is σ = 277589140836480. Its totient is φ = 19871449600000.

The previous prime is 82026270024563. The next prime is 82026270024623. The reversal of 82026270024600 is 642007262028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5293960 + ... + 13859240.

It is an arithmetic number, because the mean of its divisors is an integer number (1445776775190).

Almost surely, 2^{82026270024600} 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 82026270024600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138794570418240).

82026270024600 is an abundant number, since it is smaller than the sum of its proper divisors (195562870811880).

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

82026270024600 is a wasteful number, since it uses less digits than its factorization.

82026270024600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566762 (or 8566753 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

Adding to 82026270024600 its reverse (642007262028), we get a palindrome (82668277286628).

The spelling of 82026270024600 in words is "eighty-two trillion, twenty-six billion, two hundred seventy million, twenty-four thousand, six hundred".