86430240000 has 1440 divisors, whose sum is σ = 366525174400. Its totient is φ = 20155392000.

The previous prime is 86430239993. The next prime is 86430240079. The reversal of 86430240000 is 4203468.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4548959991 + ... + 4548960009.

Almost surely, 2^86430240000 is an apocalyptic number.

86430240000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86430240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183262587200).

86430240000 is an abundant number, since it is smaller than the sum of its proper divisors (280094934400).

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

86430240000 is an frugal number, since it uses more digits than its factorization.

86430240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 86430240000 its reverse (4203468), we get a palindrome (86434443468).

The spelling of 86430240000 in words is "eighty-six billion, four hundred thirty million, two hundred forty thousand".