86483311200 has 2016 divisors, whose sum is σ = 400217321952. Its totient is φ = 17915904000.

The previous prime is 86483311171. The next prime is 86483311207. The reversal of 86483311200 is 211338468.

86483311200 is a `hidden beast` number, since 8 + 64 + 83 + 311 + 200 = 666.

It is a super-2 number, since 2×86483311200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86483311207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1417759170 + ... + 1417759230.

It is an arithmetic number, because the mean of its divisors is an integer number (198520497).

Almost surely, 2^86483311200 is an apocalyptic number.

86483311200 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 86483311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200108660976).

86483311200 is an abundant number, since it is smaller than the sum of its proper divisors (313734010752).

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

86483311200 is a wasteful number, since it uses less digits than its factorization.

86483311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

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

Adding to 86483311200 its reverse (211338468), we get a palindrome (86694649668).

The spelling of 86483311200 in words is "eighty-six billion, four hundred eighty-three million, three hundred eleven thousand, two hundred".