9870186210066 has 576 divisors, whose sum is σ = 27787657637376. Its totient is φ = 2508052377600.

The previous prime is 9870186210029. The next prime is 9870186210077. The reversal of 9870186210066 is 6600126810789.

9870186210066 is a `hidden beast` number, since 9 + 8 + 7 + 0 + 1 + 8 + 621 + 0 + 0 + 6 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9870186209994 and 9870186210021.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21317896551 + ... + 21317897013.

It is an arithmetic number, because the mean of its divisors is an integer number (48242461176).

Almost surely, 2^{9870186210066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9870186210066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893828818688).

9870186210066 is an abundant number, since it is smaller than the sum of its proper divisors (17917471427310).

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

9870186210066 is a wasteful number, since it uses less digits than its factorization.

9870186210066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 9870186210066 in words is "nine trillion, eight hundred seventy billion, one hundred eighty-six million, two hundred ten thousand, sixty-six".