82179268285440 has 792 divisors, whose sum is σ = 278153106322464. Its totient is φ = 20707474636800.

The previous prime is 82179268285313. The next prime is 82179268285531. The reversal of 82179268285440 is 4458286297128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27293013535 + ... + 27293016545.

Almost surely, 2^{82179268285440} is an apocalyptic number.

82179268285440 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 82179268285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139076553161232).

82179268285440 is an abundant number, since it is smaller than the sum of its proper divisors (195973838037024).

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

82179268285440 is a wasteful number, since it uses less digits than its factorization.

82179268285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 82179268285440 in words is "eighty-two trillion, one hundred seventy-nine billion, two hundred sixty-eight million, two hundred eighty-five thousand, four hundred forty".