82000667105280 has 3456 divisors, whose sum is σ = 373808681326080. Its totient is φ = 16909030195200.

The previous prime is 82000667105249. The next prime is 82000667105303. The reversal of 82000667105280 is 8250176600028.

82000667105280 is a `hidden beast` number, since 8 + 200 + 0 + 6 + 67 + 105 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 625959290815 + ... + 625959290945.

It is an arithmetic number, because the mean of its divisors is an integer number (108162234180).

Almost surely, 2^{82000667105280} is an apocalyptic number.

82000667105280 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 82000667105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186904340663040).

82000667105280 is an abundant number, since it is smaller than the sum of its proper divisors (291808014220800).

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

82000667105280 is an frugal number, since it uses more digits than its factorization.

82000667105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 82000667105280 in words is "eighty-two trillion, six hundred sixty-seven million, one hundred five thousand, two hundred eighty".