166206389440 has 224 divisors, whose sum is σ = 490009403520. Its totient is φ = 52600025088.

The previous prime is 166206389399. The next prime is 166206389441. The reversal of 166206389440 is 44983602661.

166206389440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (166206389441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4904394 + ... + 4938166.

It is an arithmetic number, because the mean of its divisors is an integer number (2187541980).

Almost surely, 2^166206389440 is an apocalyptic number.

166206389440 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 166206389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245004701760).

166206389440 is an abundant number, since it is smaller than the sum of its proper divisors (323803014080).

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

166206389440 is an equidigital number, since it uses as much as digits as its factorization.

166206389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33836 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 166206389440 in words is "one hundred sixty-six billion, two hundred six million, three hundred eighty-nine thousand, four hundred forty".