82025671896 has 480 divisors, whose sum is σ = 278087040000. Its totient is φ = 22498922880.

The previous prime is 82025671859. The next prime is 82025671901. The reversal of 82025671896 is 69817652028.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 164379855 + ... + 164380353.

It is an arithmetic number, because the mean of its divisors is an integer number (579348000).

Almost surely, 2^82025671896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82025671896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520000).

82025671896 is an abundant number, since it is smaller than the sum of its proper divisors (196061368104).

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

82025671896 is a wasteful number, since it uses less digits than its factorization.

82025671896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 82025671896 in words is "eighty-two billion, twenty-five million, six hundred seventy-one thousand, eight hundred ninety-six".