166934338560 has 1760 divisors, whose sum is σ = 715621243392. Its totient is φ = 36787322880.

The previous prime is 166934338559. The next prime is 166934338579. The reversal of 166934338560 is 65833439661.

166934338560 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 3 + 43 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 = 166934338497 and 166934338506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3882193899 + ... + 3882193941.

Almost surely, 2^166934338560 is an apocalyptic number.

166934338560 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 166934338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357810621696).

166934338560 is an abundant number, since it is smaller than the sum of its proper divisors (548686904832).

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

166934338560 is a wasteful number, since it uses less digits than its factorization.

166934338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 166934338560 in words is "one hundred sixty-six billion, nine hundred thirty-four million, three hundred thirty-eight thousand, five hundred sixty".