86518356000 has 96 divisors (see below), whose sum is σ = 283434173568. Its totient is φ = 23071558400.

The previous prime is 86518355971. The next prime is 86518356011. The reversal of 86518356000 is 65381568.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3592932 + ... + 3616931.

It is an arithmetic number, because the mean of its divisors is an integer number (2952439308).

Almost surely, 2^86518356000 is an apocalyptic number.

86518356000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86518356000 is an abundant number, since it is smaller than the sum of its proper divisors (196915817568).

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

86518356000 is a wasteful number, since it uses less digits than its factorization.

86518356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209891 (or 7209873 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 86518356000 in words is "eighty-six billion, five hundred eighteen million, three hundred fifty-six thousand".