166499942400 has 576 divisors, whose sum is σ = 650968592040. Its totient is φ = 40343961600.

The previous prime is 166499942327. The next prime is 166499942419. The reversal of 166499942400 is 4249994661.

It is a happy number.

166499942400 is a `hidden beast` number, since 1 + 6 + 64 + 99 + 94 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81099774 + ... + 81101826.

Almost surely, 2^166499942400 is an apocalyptic number.

166499942400 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 166499942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325484296020).

166499942400 is an abundant number, since it is smaller than the sum of its proper divisors (484468649640).

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

166499942400 is a wasteful number, since it uses less digits than its factorization.

166499942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 166499942400 in words is "one hundred sixty-six billion, four hundred ninety-nine million, nine hundred forty-two thousand, four hundred".