82667677017057 has 16 divisors (see below), whose sum is σ = 120277967090880. Its totient is φ = 50087425248000.

The previous prime is 82667677017049. The next prime is 82667677017097. The reversal of 82667677017057 is 75071077676628.

82667677017057 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82667677017057 - 2³ = 82667677017049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82667677016982 and 82667677017000.

It is not an unprimeable number, because it can be changed into a prime (82667677017097) 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, 354811444 + ... + 355044357.

It is an arithmetic number, because the mean of its divisors is an integer number (7517372943180).

Almost surely, 2^{82667677017057} is an apocalyptic number.

It is an amenable number.

82667677017057 is a deficient number, since it is larger than the sum of its proper divisors (37610290073823).

82667677017057 is a wasteful number, since it uses less digits than its factorization.

82667677017057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709859344.

The product of its (nonzero) digits is 290424960, while the sum is 69.

The spelling of 82667677017057 in words is "eighty-two trillion, six hundred sixty-seven billion, six hundred seventy-seven million, seventeen thousand, fifty-seven".