10066711600 has 120 divisors (see below), whose sum is σ = 26438955120. Its totient is φ = 3652992000.

The previous prime is 10066711579. The next prime is 10066711601. The reversal of 10066711600 is 611766001.

It is not an unprimeable number, because it can be changed into a prime (10066711601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378286 + ... + 2382514.

It is an arithmetic number, because the mean of its divisors is an integer number (220324626).

Almost surely, 2^10066711600 is an apocalyptic number.

10066711600 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 10066711600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219477560).

10066711600 is an abundant number, since it is smaller than the sum of its proper divisors (16372243520).

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

10066711600 is a wasteful number, since it uses less digits than its factorization.

10066711600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 10066711600 in words is "ten billion, sixty-six million, seven hundred eleven thousand, six hundred".