166305661200 has 720 divisors, whose sum is σ = 681976279296. Its totient is φ = 36735897600.

The previous prime is 166305661189. The next prime is 166305661211. The reversal of 166305661200 is 2166503661.

166305661200 is a `hidden beast` number, since 1 + 6 + 6 + 30 + 5 + 6 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166305661189) and next prime (166305661211).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161304685 + ... + 161305715.

Almost surely, 2^166305661200 is an apocalyptic number.

166305661200 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 166305661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340988139648).

166305661200 is an abundant number, since it is smaller than the sum of its proper divisors (515670618096).

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

166305661200 is a wasteful number, since it uses less digits than its factorization.

166305661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 166305661200 in words is "one hundred sixty-six billion, three hundred five million, six hundred sixty-one thousand, two hundred".