166872250000 has 315 divisors, whose sum is σ = 436678453413. Its totient is φ = 61765200000.

The previous prime is 166872249997. The next prime is 166872250003. The reversal of 166872250000 is 52278661.

It is a happy number.

The square root of 166872250000 is 408500.

It is a perfect power (a square), and thus also a powerful number.

166872250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166872249997) and next prime (166872250003).

It can be written as a sum of positive squares in 3 ways, for example, as 146196110736 + 20676139264 = 382356^2 + 143792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166872250003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3880749979 + ... + 3880750021.

Almost surely, 2^166872250000 is an apocalyptic number.

166872250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166872250000 is the 408500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166872250000

166872250000 is an abundant number, since it is smaller than the sum of its proper divisors (269806203413).

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

166872250000 is an frugal number, since it uses more digits than its factorization.

166872250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 166872250000 in words is "one hundred sixty-six billion, eight hundred seventy-two million, two hundred fifty thousand".