166555661184 has 768 divisors, whose sum is σ = 571739212800. Its totient is φ = 47311257600.

The previous prime is 166555661177. The next prime is 166555661249. The reversal of 166555661184 is 481166555661.

It is a happy number.

166555661184 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 556 + 6 + 1 + 1 + 84 = 666.

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

Its product of digits (5184000) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 166555661184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1717068624 + ... + 1717068720.

It is an arithmetic number, because the mean of its divisors is an integer number (744452100).

Almost surely, 2^166555661184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166555661184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285869606400).

166555661184 is an abundant number, since it is smaller than the sum of its proper divisors (405183551616).

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

166555661184 is a wasteful number, since it uses less digits than its factorization.

166555661184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 191 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 166555661184 in words is "one hundred sixty-six billion, five hundred fifty-five million, six hundred sixty-one thousand, one hundred eighty-four".