166065829440 has 672 divisors, whose sum is σ = 646864994304. Its totient is φ = 35937054720.

The previous prime is 166065829439. The next prime is 166065829469. The reversal of 166065829440 is 44928560661.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 68536069 + ... + 68538491.

Almost surely, 2^166065829440 is an apocalyptic number.

166065829440 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 166065829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323432497152).

166065829440 is an abundant number, since it is smaller than the sum of its proper divisors (480799164864).

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

166065829440 is a wasteful number, since it uses less digits than its factorization.

166065829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 166065829440 in words is "one hundred sixty-six billion, sixty-five million, eight hundred twenty-nine thousand, four hundred forty".