82839205440 has 168 divisors, whose sum is σ = 295485677760. Its totient is φ = 22090434048.

The previous prime is 82839205373. The next prime is 82839205459. The reversal of 82839205440 is 4450293828.

82839205440 is a `hidden beast` number, since 8 + 2 + 83 + 9 + 20 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454900 + ... + 610419.

It is an arithmetic number, because the mean of its divisors is an integer number (1758843320).

Almost surely, 2^82839205440 is an apocalyptic number.

82839205440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82839205440 is an abundant number, since it is smaller than the sum of its proper divisors (212646472320).

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

82839205440 is a wasteful number, since it uses less digits than its factorization.

82839205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065351 (or 1065329 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82839205440 in words is "eighty-two billion, eight hundred thirty-nine million, two hundred five thousand, four hundred forty".