82645570011015 has 256 divisors, whose sum is σ = 178789462272000. Its totient is φ = 35699240263680.

The previous prime is 82645570011013. The next prime is 82645570011031. The reversal of 82645570011015 is 51011007554628.

82645570011015 is a `hidden beast` number, since 8 + 2 + 6 + 455 + 70 + 0 + 110 + 15 = 666.

It is not a de Polignac number, because 82645570011015 - 2¹ = 82645570011013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82645570011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 589425897 + ... + 589566093.

It is an arithmetic number, because the mean of its divisors is an integer number (698396337000).

Almost surely, 2^{82645570011015} is an apocalyptic number.

82645570011015 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82645570011015 is an abundant number, since it is smaller than the sum of its proper divisors (96143892260985).

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

82645570011015 is a wasteful number, since it uses less digits than its factorization.

82645570011015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141487 (or 141481 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 82645570011015 in words is "eighty-two trillion, six hundred forty-five billion, five hundred seventy million, eleven thousand, fifteen".