86009541906 has 64 divisors (see below), whose sum is σ = 183587627520. Its totient is φ = 26769469440.

The previous prime is 86009541887. The next prime is 86009541949. The reversal of 86009541906 is 60914590068.

It is a super-2 number, since 2×86009541906² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6606055 + ... + 6619061.

It is an arithmetic number, because the mean of its divisors is an integer number (2868556680).

Almost surely, 2^86009541906 is an apocalyptic number.

86009541906 is an abundant number, since it is smaller than the sum of its proper divisors (97578085614).

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

86009541906 is a wasteful number, since it uses less digits than its factorization.

86009541906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539.

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 86009541906 in words is "eighty-six billion, nine million, five hundred forty-one thousand, nine hundred six".