166572482918400 has 1512 divisors, whose sum is σ = 670536406907640. Its totient is φ = 41000904622080.

The previous prime is 166572482918393. The next prime is 166572482918411. The reversal of 166572482918400 is 4819284275661.

It is a happy number.

166572482918400 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 72 + 482 + 9 + 1 + 84 + 0 + 0 = 666.

166572482918400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6307877997 + ... + 6307904403.

It is an arithmetic number, because the mean of its divisors is an integer number (443476459595).

Almost surely, 2^{166572482918400} is an apocalyptic number.

166572482918400 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 166572482918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335268203453820).

166572482918400 is an abundant number, since it is smaller than the sum of its proper divisors (503963923989240).

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

166572482918400 is an equidigital number, since it uses as much as digits as its factorization.

166572482918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26483 (or 26430 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 166572482918400 in words is "one hundred sixty-six trillion, five hundred seventy-two billion, four hundred eighty-two million, nine hundred eighteen thousand, four hundred".