16956000180 has 216 divisors, whose sum is σ = 61291044360. Its totient is φ = 3781048320.

The previous prime is 16956000151. The next prime is 16956000233. The reversal of 16956000180 is 8100065961.

16956000180 is a `hidden beast` number, since 16 + 9 + 560 + 0 + 0 + 1 + 80 = 666.

16956000180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 16930173456 = 5082^2 + 130116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338176 + ... + 385064.

It is an arithmetic number, because the mean of its divisors is an integer number (283754835).

Almost surely, 2^16956000180 is an apocalyptic number.

16956000180 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 16956000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30645522180).

16956000180 is an abundant number, since it is smaller than the sum of its proper divisors (44335044180).

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

16956000180 is a wasteful number, since it uses less digits than its factorization.

16956000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46959 (or 46947 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 16956000180 in words is "sixteen billion, nine hundred fifty-six million, one hundred eighty", and thus it is an aban number.