82580557578075 has 36 divisors (see below), whose sum is σ = 150417919590120. Its totient is φ = 43296473118720.

The previous prime is 82580557578017. The next prime is 82580557578121. The reversal of 82580557578075 is 57087575508528.

It is not a de Polignac number, because 82580557578075 - 2¹⁰ = 82580557577051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82580557577994 and 82580557578012.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110365542 + ... + 3110392091.

It is an arithmetic number, because the mean of its divisors is an integer number (4178275544170).

Almost surely, 2^{82580557578075} is an apocalyptic number.

82580557578075 is a deficient number, since it is larger than the sum of its proper divisors (67837362012045).

82580557578075 is a wasteful number, since it uses less digits than its factorization.

82580557578075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220757708 (or 6220757700 counting only the distinct ones).

The product of its (nonzero) digits is 1097600000, while the sum is 72.

The spelling of 82580557578075 in words is "eighty-two trillion, five hundred eighty billion, five hundred fifty-seven million, five hundred seventy-eight thousand, seventy-five".