166724361120 has 192 divisors, whose sum is σ = 556531710336. Its totient is φ = 41810165760.

The previous prime is 166724361119. The next prime is 166724361121. The reversal of 166724361120 is 21163427661.

It is a happy number.

166724361120 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 (166724361119) and next prime (166724361121).

It is not an unprimeable number, because it can be changed into a prime (166724361121) 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 31 ways as a sum of consecutive naturals, for example, 10771627 + ... + 10787093.

It is an arithmetic number, because the mean of its divisors is an integer number (2898602658).

Almost surely, 2^166724361120 is an apocalyptic number.

166724361120 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 166724361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278265855168).

166724361120 is an abundant number, since it is smaller than the sum of its proper divisors (389807349216).

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

166724361120 is a wasteful number, since it uses less digits than its factorization.

166724361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16823 (or 16815 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 166724361120 its reverse (21163427661), we get a palindrome (187887788781).

The spelling of 166724361120 in words is "one hundred sixty-six billion, seven hundred twenty-four million, three hundred sixty-one thousand, one hundred twenty".