10166072180 has 96 divisors (see below), whose sum is σ = 24095957760. Its totient is φ = 3570560000.

The previous prime is 10166072173. The next prime is 10166072239. The reversal of 10166072180 is 8127066101.

It is a happy 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, 905441 + ... + 916599.

It is an arithmetic number, because the mean of its divisors is an integer number (250999560).

Almost surely, 2^10166072180 is an apocalyptic number.

10166072180 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 10166072180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047978880).

10166072180 is an abundant number, since it is smaller than the sum of its proper divisors (13929885580).

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

10166072180 is a wasteful number, since it uses less digits than its factorization.

10166072180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10166072180 in words is "ten billion, one hundred sixty-six million, seventy-two thousand, one hundred eighty".