10066112480 has 96 divisors (see below), whose sum is σ = 24106753440. Its totient is φ = 3971635200.

The previous prime is 10066112479. The next prime is 10066112489. The reversal of 10066112480 is 8421166001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066112489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4960106 + ... + 4962134.

It is an arithmetic number, because the mean of its divisors is an integer number (251112015).

Almost surely, 2^10066112480 is an apocalyptic number.

10066112480 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 10066112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053376720).

10066112480 is an abundant number, since it is smaller than the sum of its proper divisors (14040640960).

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

10066112480 is a wasteful number, since it uses less digits than its factorization.

10066112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 10066112480 its reverse (8421166001), we get a palindrome (18487278481).

The spelling of 10066112480 in words is "ten billion, sixty-six million, one hundred twelve thousand, four hundred eighty".