166651900800 has 1536 divisors, whose sum is σ = 721239552000. Its totient is φ = 33507532800.

The previous prime is 166651900771. The next prime is 166651900819. The reversal of 166651900800 is 8009156661.

It is a happy number.

166651900800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1557494347 + ... + 1557494453.

It is an arithmetic number, because the mean of its divisors is an integer number (469557000).

Almost surely, 2^166651900800 is an apocalyptic number.

166651900800 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 166651900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360619776000).

166651900800 is an abundant number, since it is smaller than the sum of its proper divisors (554587651200).

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

166651900800 is a wasteful number, since it uses less digits than its factorization.

166651900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 166651900800 in words is "one hundred sixty-six billion, six hundred fifty-one million, nine hundred thousand, eight hundred".