166094716262400 has 1296 divisors, whose sum is σ = 638079526702800. Its totient is φ = 41278384373760.

The previous prime is 166094716262339. The next prime is 166094716262437. The reversal of 166094716262400 is 4262617490661.

166094716262400 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 9 + 4 + 7 + 1 + 6 + 2 + 624 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13716627546 + ... + 13716639654.

Almost surely, 2^{166094716262400} is an apocalyptic number.

166094716262400 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 166094716262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319039763351400).

166094716262400 is an abundant number, since it is smaller than the sum of its proper divisors (471984810440400).

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

166094716262400 is a wasteful number, since it uses less digits than its factorization.

166094716262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 166094716262400 in words is "one hundred sixty-six trillion, ninety-four billion, seven hundred sixteen million, two hundred sixty-two thousand, four hundred".