166471925760 has 720 divisors, whose sum is σ = 694274711130. Its totient is φ = 38050725888.

The previous prime is 166471925731. The next prime is 166471925773. The reversal of 166471925760 is 67529174661.

166471925760 is a `hidden beast` number, since 1 + 6 + 64 + 7 + 1 + 9 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149824733184 + 16647192576 = 387072^2 + 129024^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166471925697 and 166471925706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23781703677 + ... + 23781703683.

Almost surely, 2^166471925760 is an apocalyptic number.

166471925760 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 166471925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347137355565).

166471925760 is an abundant number, since it is smaller than the sum of its proper divisors (527802785370).

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

166471925760 is an frugal number, since it uses more digits than its factorization.

166471925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 166471925760 in words is "one hundred sixty-six billion, four hundred seventy-one million, nine hundred twenty-five thousand, seven hundred sixty".