86411205892188 has 144 divisors (see below), whose sum is σ = 236469779028000. Its totient is φ = 27284385627648.

The previous prime is 86411205892177. The next prime is 86411205892199. The reversal of 86411205892188 is 88129850211468.

86411205892188 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 1 + 20 + 589 + 21 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86411205892177) and next prime (86411205892199).

It is a super-2 number, since 2×86411205892188² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326158158 + ... + 326422986.

It is an arithmetic number, because the mean of its divisors is an integer number (1642151243250).

Almost surely, 2^{86411205892188} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86411205892188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118234889514000).

86411205892188 is an abundant number, since it is smaller than the sum of its proper divisors (150058573135812).

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

86411205892188 is a wasteful number, since it uses less digits than its factorization.

86411205892188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273249 (or 273222 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 86411205892188 in words is "eighty-six trillion, four hundred eleven billion, two hundred five million, eight hundred ninety-two thousand, one hundred eighty-eight".