166589663834880 has 5184 divisors, whose sum is σ = 748093207680000. Its totient is φ = 35205467996160.

The previous prime is 166589663834849. The next prime is 166589663834903. The reversal of 166589663834880 is 88438366985661.

166589663834880 is a `hidden beast` number, since 1 + 6 + 6 + 58 + 9 + 6 + 6 + 3 + 83 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×166589663834880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 166589663834880.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 837133989021 + ... + 837133989219.

Almost surely, 2^{166589663834880} is an apocalyptic number.

166589663834880 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 166589663834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374046603840000).

166589663834880 is an abundant number, since it is smaller than the sum of its proper divisors (581503543845120).

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

166589663834880 is a wasteful number, since it uses less digits than its factorization.

166589663834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8599633920, while the sum is 81.

The spelling of 166589663834880 in words is "one hundred sixty-six trillion, five hundred eighty-nine billion, six hundred sixty-three million, eight hundred thirty-four thousand, eight hundred eighty".