82845987840 has 1408 divisors, whose sum is σ = 377680343040. Its totient is φ = 16721510400.

The previous prime is 82845987811. The next prime is 82845987857. The reversal of 82845987840 is 4878954828.

82845987840 is a `hidden beast` number, since 8 + 28 + 459 + 87 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 457712550 + ... + 457712730.

It is an arithmetic number, because the mean of its divisors is an integer number (268238880).

Almost surely, 2^82845987840 is an apocalyptic number.

82845987840 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 82845987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188840171520).

82845987840 is an abundant number, since it is smaller than the sum of its proper divisors (294834355200).

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

82845987840 is a wasteful number, since it uses less digits than its factorization.

82845987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 82845987840 in words is "eighty-two billion, eight hundred forty-five million, nine hundred eighty-seven thousand, eight hundred forty".