86834464200 has 432 divisors, whose sum is σ = 322124630100. Its totient is φ = 20946816000.

The previous prime is 86834464159. The next prime is 86834464229. The reversal of 86834464200 is 246443868.

It can be written as a sum of positive squares in 6 ways, for example, as 22032652356 + 64801811844 = 148434^2 + 254562^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49875330 + ... + 49877070.

Almost surely, 2^86834464200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86834464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161062315050).

86834464200 is an abundant number, since it is smaller than the sum of its proper divisors (235290165900).

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

86834464200 is a wasteful number, since it uses less digits than its factorization.

86834464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 86834464200 in words is "eighty-six billion, eight hundred thirty-four million, four hundred sixty-four thousand, two hundred".