82284871680 has 1024 divisors, whose sum is σ = 339733440000. Its totient is φ = 18685624320.

The previous prime is 82284871651. The next prime is 82284871729. The reversal of 82284871680 is 8617848228.

82284871680 is a `hidden beast` number, since 82 + 2 + 8 + 487 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924549076 + ... + 924549164.

Almost surely, 2^82284871680 is an apocalyptic number.

82284871680 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 82284871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169866720000).

82284871680 is an abundant number, since it is smaller than the sum of its proper divisors (257448568320).

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

82284871680 is a wasteful number, since it uses less digits than its factorization.

82284871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 82284871680 in words is "eighty-two billion, two hundred eighty-four million, eight hundred seventy-one thousand, six hundred eighty".