166534524451680 has 576 divisors, whose sum is σ = 665800093066752. Its totient is φ = 34599661608960.

The previous prime is 166534524451571. The next prime is 166534524451681. The reversal of 166534524451680 is 86154425435661.

It is a happy number.

166534524451680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166534524451681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1988738772 + ... + 1988822508.

It is an arithmetic number, because the mean of its divisors is an integer number (1155902939352).

Almost surely, 2^{166534524451680} is an apocalyptic number.

166534524451680 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 166534524451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332900046533376).

166534524451680 is an abundant number, since it is smaller than the sum of its proper divisors (499265568615072).

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

166534524451680 is a wasteful number, since it uses less digits than its factorization.

166534524451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91467 (or 91452 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 166534524451680 in words is "one hundred sixty-six trillion, five hundred thirty-four billion, five hundred twenty-four million, four hundred fifty-one thousand, six hundred eighty".