86024866830 has 192 divisors, whose sum is σ = 249521472000. Its totient is φ = 18590923008.

The previous prime is 86024866799. The next prime is 86024866861. The reversal of 86024866830 is 3866842068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86024866799) and next prime (86024866861).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57387421 + ... + 57388919.

It is an arithmetic number, because the mean of its divisors is an integer number (1299591000).

Almost surely, 2^86024866830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86024866830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124760736000).

86024866830 is an abundant number, since it is smaller than the sum of its proper divisors (163496605170).

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

86024866830 is a wasteful number, since it uses less digits than its factorization.

86024866830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 86024866830 in words is "eighty-six billion, twenty-four million, eight hundred sixty-six thousand, eight hundred thirty".