86004160830 has 256 divisors, whose sum is σ = 265192704000. Its totient is φ = 19428139008.

The previous prime is 86004160799. The next prime is 86004160831. The reversal of 86004160830 is 3806140068.

It is a happy number.

86004160830 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 41 + 608 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86004160831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70668382 + ... + 70669598.

It is an arithmetic number, because the mean of its divisors is an integer number (1035909000).

Almost surely, 2^86004160830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86004160830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132596352000).

86004160830 is an abundant number, since it is smaller than the sum of its proper divisors (179188543170).

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

86004160830 is a wasteful number, since it uses less digits than its factorization.

86004160830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 86004160830 in words is "eighty-six billion, four million, one hundred sixty thousand, eight hundred thirty".