166412265600 has 1536 divisors, whose sum is σ = 708708925440. Its totient is φ = 33443020800.

The previous prime is 166412265589. The next prime is 166412265647. The reversal of 166412265600 is 6562214661.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310332737 + ... + 1310332863.

It is an arithmetic number, because the mean of its divisors is an integer number (461399040).

Almost surely, 2^166412265600 is an apocalyptic number.

166412265600 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 166412265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354354462720).

166412265600 is an abundant number, since it is smaller than the sum of its proper divisors (542296659840).

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

166412265600 is a wasteful number, since it uses less digits than its factorization.

166412265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 166412265600 in words is "one hundred sixty-six billion, four hundred twelve million, two hundred sixty-five thousand, six hundred".