82053182838 has 96 divisors (see below), whose sum is σ = 191163466368. Its totient is φ = 23380980480.

The previous prime is 82053182837. The next prime is 82053182879. The reversal of 82053182838 is 83828135028.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82053182837) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18300945 + ... + 18305427.

It is an arithmetic number, because the mean of its divisors is an integer number (1991286108).

Almost surely, 2^82053182838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82053182838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95581733184).

82053182838 is an abundant number, since it is smaller than the sum of its proper divisors (109110283530).

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

82053182838 is a wasteful number, since it uses less digits than its factorization.

82053182838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 82053182838 in words is "eighty-two billion, fifty-three million, one hundred eighty-two thousand, eight hundred thirty-eight".