82716205243815 has 288 divisors, whose sum is σ = 172243598567040. Its totient is φ = 36469407744000.

The previous prime is 82716205243811. The next prime is 82716205243831. The reversal of 82716205243815 is 51834250261728.

It is a happy number.

82716205243815 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 620 + 5 + 2 + 4 + 3 + 8 + 1 + 5 = 666.

It is not a de Polignac number, because 82716205243815 - 2² = 82716205243811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82716205243811) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7081254775 + ... + 7081266455.

It is an arithmetic number, because the mean of its divisors is an integer number (598068050580).

Almost surely, 2^{82716205243815} is an apocalyptic number.

82716205243815 is an abundant number, since it is smaller than the sum of its proper divisors (89527393323225).

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

82716205243815 is a wasteful number, since it uses less digits than its factorization.

82716205243815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13207 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 82716205243815 in words is "eighty-two trillion, seven hundred sixteen billion, two hundred five million, two hundred forty-three thousand, eight hundred fifteen".