166081557600 has 1296 divisors, whose sum is σ = 722857734144. Its totient is φ = 36447667200.

The previous prime is 166081557583. The next prime is 166081557619. The reversal of 166081557600 is 6755180661.

166081557600 is a `hidden beast` number, since 1 + 6 + 60 + 8 + 15 + 576 + 0 + 0 = 666.

166081557600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1307728737 + ... + 1307728863.

Almost surely, 2^166081557600 is an apocalyptic number.

166081557600 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 166081557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361428867072).

166081557600 is an abundant number, since it is smaller than the sum of its proper divisors (556776176544).

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

166081557600 is a wasteful number, since it uses less digits than its factorization.

166081557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 166081557600 in words is "one hundred sixty-six billion, eighty-one million, five hundred fifty-seven thousand, six hundred".