10466120010 has 64 divisors (see below), whose sum is σ = 26096878080. Its totient is φ = 2683107840.

The previous prime is 10466119969. The next prime is 10466120017. The reversal of 10466120010 is 1002166401.

10466120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10466120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176895 + ... + 228525.

It is an arithmetic number, because the mean of its divisors is an integer number (407763720).

Almost surely, 2^10466120010 is an apocalyptic number.

10466120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048439040).

10466120010 is an abundant number, since it is smaller than the sum of its proper divisors (15630758070).

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

10466120010 is a wasteful number, since it uses less digits than its factorization.

10466120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51903.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10466120010 its reverse (1002166401), we get a palindrome (11468286411).

The spelling of 10466120010 in words is "ten billion, four hundred sixty-six million, one hundred twenty thousand, ten".