86631859200 has 528 divisors, whose sum is σ = 301324295360. Its totient is φ = 21923758080.

The previous prime is 86631859183. The next prime is 86631859207. The reversal of 86631859200 is 295813668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86631859200.

It is not an unprimeable number, because it can be changed into a prime (86631859207) 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, 122188446 + ... + 122189154.

Almost surely, 2^86631859200 is an apocalyptic number.

86631859200 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 86631859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150662147680).

86631859200 is an abundant number, since it is smaller than the sum of its proper divisors (214692436160).

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

86631859200 is a wasteful number, since it uses less digits than its factorization.

86631859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 86631859200 in words is "eighty-six billion, six hundred thirty-one million, eight hundred fifty-nine thousand, two hundred".