87671133117678 has 16 divisors (see below), whose sum is σ = 191282472256896. Its totient is φ = 26567010035640.

The previous prime is 87671133117677. The next prime is 87671133117707.

87671133117678 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×87671133117678² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 1328350501783 = 87671133117678 / (8 + 7 + 6 + 7 + 1 + 1 + 3 + 3 + 1 + 1 + 7 + 6 + 7 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87671133117677) 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 7 ways as a sum of consecutive naturals, for example, 664175250826 + ... + 664175250957.

It is an arithmetic number, because the mean of its divisors is an integer number (11955154516056).

Almost surely, 2^{87671133117678} is an apocalyptic number.

87671133117678 is an abundant number, since it is smaller than the sum of its proper divisors (103611339139218).

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

87671133117678 is a wasteful number, since it uses less digits than its factorization.

87671133117678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328350501799.

The product of its digits is 49787136, while the sum is 66.

The spelling of 87671133117678 in words is "eighty-seven trillion, six hundred seventy-one billion, one hundred thirty-three million, one hundred seventeen thousand, six hundred seventy-eight".