82540117296 has 480 divisors, whose sum is σ = 298980864000. Its totient is φ = 20660023296.

The previous prime is 82540117291. The next prime is 82540117307. The reversal of 82540117296 is 69271104528.

82540117296 is a `hidden beast` number, since 8 + 2 + 540 + 1 + 17 + 2 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (82540117291) 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 95 ways as a sum of consecutive naturals, for example, 41289705 + ... + 41291703.

It is an arithmetic number, because the mean of its divisors is an integer number (622876800).

Almost surely, 2^82540117296 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 82540117296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432000).

82540117296 is an abundant number, since it is smaller than the sum of its proper divisors (216440746704).

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

82540117296 is a wasteful number, since it uses less digits than its factorization.

82540117296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82540117296 in words is "eighty-two billion, five hundred forty million, one hundred seventeen thousand, two hundred ninety-six".