86634451200 has 648 divisors, whose sum is σ = 318556173600. Its totient is φ = 20716748800.

The previous prime is 86634451193. The next prime is 86634451229. The reversal of 86634451200 is 215443668.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206764591 + ... + 206765009.

Almost surely, 2^86634451200 is an apocalyptic number.

86634451200 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 86634451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159278086800).

86634451200 is an abundant number, since it is smaller than the sum of its proper divisors (231921722400).

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

86634451200 is a wasteful number, since it uses less digits than its factorization.

86634451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 86634451200 its reverse (215443668), we get a palindrome (86849894868).

The spelling of 86634451200 in words is "eighty-six billion, six hundred thirty-four million, four hundred fifty-one thousand, two hundred".