82701647584887 has 128 divisors (see below), whose sum is σ = 124108600412160. Its totient is φ = 48745509765120.

The previous prime is 82701647584867. The next prime is 82701647584931. The reversal of 82701647584887 is 78848574610728.

It is not a de Polignac number, because 82701647584887 - 2⁶ = 82701647584823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82701647584837) 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 127 ways as a sum of consecutive naturals, for example, 2288540683 + ... + 2288576819.

It is an arithmetic number, because the mean of its divisors is an integer number (969598440720).

Almost surely, 2^{82701647584887} is an apocalyptic number.

82701647584887 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

82701647584887 is a deficient number, since it is larger than the sum of its proper divisors (41406952827273).

82701647584887 is a wasteful number, since it uses less digits than its factorization.

82701647584887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36553.

The product of its (nonzero) digits is 1348730880, while the sum is 75.

The spelling of 82701647584887 in words is "eighty-two trillion, seven hundred one billion, six hundred forty-seven million, five hundred eighty-four thousand, eight hundred eighty-seven".