166655579967360 has 1536 divisors, whose sum is σ = 668059767936000. Its totient is φ = 38938193510400.

The previous prime is 166655579967341. The next prime is 166655579967397. The reversal of 166655579967360 is 63769975556661.

It is a super-3 number, since 3×166655579967360³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166655579967360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48041387706 + ... + 48041391174.

It is an arithmetic number, because the mean of its divisors is an integer number (434934744750).

Almost surely, 2^{166655579967360} is an apocalyptic number.

166655579967360 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 166655579967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334029883968000).

166655579967360 is an abundant number, since it is smaller than the sum of its proper divisors (501404187968640).

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

166655579967360 is a wasteful number, since it uses less digits than its factorization.

166655579967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 11573604000, while the sum is 81.

The spelling of 166655579967360 in words is "one hundred sixty-six trillion, six hundred fifty-five billion, five hundred seventy-nine million, nine hundred sixty-seven thousand, three hundred sixty".