10066012105500 has 288 divisors, whose sum is σ = 34388682269760. Its totient is φ = 2463942643200.

The previous prime is 10066012105459. The next prime is 10066012105519. The reversal of 10066012105500 is 550121066001.

It is a happy number.

10066012105500 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 601 + 2 + 1 + 0 + 5 + 50 + 0 = 666.

10066012105500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9990862 + ... + 10952138.

It is an arithmetic number, because the mean of its divisors is an integer number (119405146770).

Almost surely, 2^{10066012105500} is an apocalyptic number.

10066012105500 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 10066012105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194341134880).

10066012105500 is an abundant number, since it is smaller than the sum of its proper divisors (24322670164260).

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

10066012105500 is a wasteful number, since it uses less digits than its factorization.

10066012105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961494 (or 961479 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10066012105500 in words is "ten trillion, sixty-six billion, twelve million, one hundred five thousand, five hundred".