86105389824 has 432 divisors, whose sum is σ = 265816084352. Its totient is φ = 27787567104.

The previous prime is 86105389813. The next prime is 86105389829. The reversal of 86105389824 is 42898350168.

86105389824 is a `hidden beast` number, since 8 + 6 + 10 + 538 + 98 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86105389829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304259187 + ... + 304259469.

Almost surely, 2^86105389824 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 86105389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908042176).

86105389824 is an abundant number, since it is smaller than the sum of its proper divisors (179710694528).

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

86105389824 is an equidigital number, since it uses as much as digits as its factorization.

86105389824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 86105389824 in words is "eighty-six billion, one hundred five million, three hundred eighty-nine thousand, eight hundred twenty-four".