82662800371020 has 288 divisors, whose sum is σ = 262762660952064. Its totient is φ = 20995043520000.

The previous prime is 82662800370991. The next prime is 82662800371051. The reversal of 82662800371020 is 2017300826628.

82662800371020 is a `hidden beast` number, since 8 + 2 + 6 + 628 + 0 + 0 + 3 + 7 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4544150125 + ... + 4544168315.

It is an arithmetic number, because the mean of its divisors is an integer number (912370350528).

Almost surely, 2^{82662800371020} 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 82662800371020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131381330476032).

82662800371020 is an abundant number, since it is smaller than the sum of its proper divisors (180099860581044).

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

82662800371020 is a wasteful number, since it uses less digits than its factorization.

82662800371020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22853 (or 22848 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82662800371020 in words is "eighty-two trillion, six hundred sixty-two billion, eight hundred million, three hundred seventy-one thousand, twenty".