10486416200 has 108 divisors (see below), whose sum is σ = 26448121665. Its totient is φ = 3864956160.

The previous prime is 10486416173. The next prime is 10486416223. The reversal of 10486416200 is 261468401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 7587455236 + 2898960964 = 87106^2 + 53842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=72410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18826322 + ... + 18826878.

Almost surely, 2^10486416200 is an apocalyptic number.

10486416200 is a gapful number since it is divisible by the number (10) 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 10486416200

10486416200 is an abundant number, since it is smaller than the sum of its proper divisors (15961705465).

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

10486416200 is an equidigital number, since it uses as much as digits as its factorization.

10486416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Multiplying 10486416200 by its sum of digits (32), we get a square (335565318400 = 579280²).

The spelling of 10486416200 in words is "ten billion, four hundred eighty-six million, four hundred sixteen thousand, two hundred".