82706557862567 has 16 divisors (see below), whose sum is σ = 85631098531680. Its totient is φ = 79786875302400.

The previous prime is 82706557862557. The next prime is 82706557862569. The reversal of 82706557862567 is 76526875560728.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82706557862567 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82706557862494 and 82706557862503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82706557862569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252419348 + ... + 252746790.

It is an arithmetic number, because the mean of its divisors is an integer number (5351943658230).

Almost surely, 2^{82706557862567} is an apocalyptic number.

82706557862567 is a deficient number, since it is larger than the sum of its proper divisors (2924540669113).

82706557862567 is a wasteful number, since it uses less digits than its factorization.

82706557862567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334834.

The product of its (nonzero) digits is 2370816000, while the sum is 74.

The spelling of 82706557862567 in words is "eighty-two trillion, seven hundred six billion, five hundred fifty-seven million, eight hundred sixty-two thousand, five hundred sixty-seven".