86516955127224 has 48 divisors (see below), whose sum is σ = 234331394983920. Its totient is φ = 28837183009920.

The previous prime is 86516955127103. The next prime is 86516955127237. The reversal of 86516955127224 is 42272155961568.

86516955127224 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 6 + 9 + 551 + 2 + 72 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36381837 + ... + 38686844.

It is an arithmetic number, because the mean of its divisors is an integer number (4881904062165).

Almost surely, 2^{86516955127224} is an apocalyptic number.

It is an amenable number.

86516955127224 is an abundant number, since it is smaller than the sum of its proper divisors (147814439856696).

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

86516955127224 is a wasteful number, since it uses less digits than its factorization.

86516955127224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75084700 (or 75084693 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 86516955127224 in words is "eighty-six trillion, five hundred sixteen billion, nine hundred fifty-five million, one hundred twenty-seven thousand, two hundred twenty-four".