166886553600 has 648 divisors, whose sum is σ = 647492620320. Its totient is φ = 41060597760.

The previous prime is 166886553593. The next prime is 166886553653. The reversal of 166886553600 is 6355688661.

166886553600 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 86 + 553 + 6 + 0 + 0 = 666.

It is a super-3 number, since 3×166886553600³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77874129 + ... + 77876271.

Almost surely, 2^166886553600 is an apocalyptic number.

166886553600 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 166886553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323746310160).

166886553600 is an abundant number, since it is smaller than the sum of its proper divisors (480606066720).

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

166886553600 is a wasteful number, since it uses less digits than its factorization.

166886553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 166886553600 in words is "one hundred sixty-six billion, eight hundred eighty-six million, five hundred fifty-three thousand, six hundred".