82505666880 has 1680 divisors, whose sum is σ = 388487594880. Its totient is φ = 16428883968.

The previous prime is 82505666879. The next prime is 82505666917. The reversal of 82505666880 is 8866650528.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313709629 + ... + 313709891.

It is an arithmetic number, because the mean of its divisors is an integer number (231242616).

Almost surely, 2^82505666880 is an apocalyptic number.

82505666880 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 82505666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194243797440).

82505666880 is an abundant number, since it is smaller than the sum of its proper divisors (305981928000).

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

82505666880 is a wasteful number, since it uses less digits than its factorization.

82505666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 82505666880 in words is "eighty-two billion, five hundred five million, six hundred sixty-six thousand, eight hundred eighty".