166667421600 has 216 divisors, whose sum is σ = 588083071212. Its totient is φ = 44416512000.

The previous prime is 166667421587. The next prime is 166667421623. The reversal of 166667421600 is 6124766661.

It can be written as a sum of positive squares in 6 ways, for example, as 14651649936 + 152015771664 = 121044^2 + 389892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 12960774 + ... + 12973626.

Almost surely, 2^166667421600 is an apocalyptic number.

166667421600 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 166667421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294041535606).

166667421600 is an abundant number, since it is smaller than the sum of its proper divisors (421415649612).

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

166667421600 is a wasteful number, since it uses less digits than its factorization.

166667421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14680 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 166667421600 in words is "one hundred sixty-six billion, six hundred sixty-seven million, four hundred twenty-one thousand, six hundred".