10200512166 has 64 divisors (see below), whose sum is σ = 22605514176. Its totient is φ = 3048192000.

The previous prime is 10200512107. The next prime is 10200512173. The reversal of 10200512166 is 66121500201.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731546 + ... + 1737426.

It is an arithmetic number, because the mean of its divisors is an integer number (353211159).

Almost surely, 2^10200512166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200512166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302757088).

10200512166 is an abundant number, since it is smaller than the sum of its proper divisors (12405002010).

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

10200512166 is a wasteful number, since it uses less digits than its factorization.

10200512166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10200512166 in words is "ten billion, two hundred million, five hundred twelve thousand, one hundred sixty-six".