82849994398080 has 2048 divisors, whose sum is σ = 384519666585600. Its totient is φ = 16360325775360.

The previous prime is 82849994398057. The next prime is 82849994398081. The reversal of 82849994398080 is 8089349994828.

82849994398080 is a `hidden beast` number, since 8 + 2 + 8 + 499 + 9 + 43 + 9 + 8 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82849994398081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4838512399 + ... + 4838529521.

It is an arithmetic number, because the mean of its divisors is an integer number (187753743450).

Almost surely, 2^{82849994398080} is an apocalyptic number.

82849994398080 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 82849994398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192259833292800).

82849994398080 is an abundant number, since it is smaller than the sum of its proper divisors (301669672187520).

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

82849994398080 is a wasteful number, since it uses less digits than its factorization.

82849994398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 82849994398080 in words is "eighty-two trillion, eight hundred forty-nine billion, nine hundred ninety-four million, three hundred ninety-eight thousand, eighty".