86587900978568 has 32 divisors (see below), whose sum is σ = 177123780012960. Its totient is φ = 39355433614080.

The previous prime is 86587900978519. The next prime is 86587900978571.

It is a happy number.

86587900978568 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86587900978568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32501105 + ... + 35064192.

It is an arithmetic number, because the mean of its divisors is an integer number (5535118125405).

Almost surely, 2^{86587900978568} is an apocalyptic number.

86587900978568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86587900978568 is an abundant number, since it is smaller than the sum of its proper divisors (90535879034392).

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

86587900978568 is a wasteful number, since it uses less digits than its factorization.

86587900978568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67579877 (or 67579873 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 86.

The spelling of 86587900978568 in words is "eighty-six trillion, five hundred eighty-seven billion, nine hundred million, nine hundred seventy-eight thousand, five hundred sixty-eight".