166554126192960 has 5376 divisors, whose sum is σ = 734740429602816. Its totient is φ = 35769102336000.

The previous prime is 166554126192953. The next prime is 166554126192967. The reversal of 166554126192960 is 69291621455661.

It is a happy number.

166554126192960 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 5 + 4 + 1 + 2 + 619 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166554126192953) and next prime (166554126192967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166554126192967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2730395511330 + ... + 2730395511390.

It is an arithmetic number, because the mean of its divisors is an integer number (136670466816).

Almost surely, 2^{166554126192960} is an apocalyptic number.

166554126192960 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 166554126192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367370214801408).

166554126192960 is an abundant number, since it is smaller than the sum of its proper divisors (568186303409856).

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

166554126192960 is a wasteful number, since it uses less digits than its factorization.

166554126192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 166554126192960 in words is "one hundred sixty-six trillion, five hundred fifty-four billion, one hundred twenty-six million, one hundred ninety-two thousand, nine hundred sixty".