166011826356288 has 840 divisors, whose sum is σ = 555343016880960. Its totient is φ = 48979373414400.

The previous prime is 166011826356169. The next prime is 166011826356331. The reversal of 166011826356288 is 882653628110661.

166011826356288 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 1 + 1 + 8 + 2 + 63 + 562 + 8 + 8 = 666.

166011826356288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4355074893 + ... + 4355113011.

It is an arithmetic number, because the mean of its divisors is an integer number (661122639144).

Almost surely, 2^{166011826356288} is an apocalyptic number.

166011826356288 is a gapful number since it is divisible by the number (18) 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 166011826356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277671508440480).

166011826356288 is an abundant number, since it is smaller than the sum of its proper divisors (389331190524672).

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

166011826356288 is a wasteful number, since it uses less digits than its factorization.

166011826356288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38349 (or 38319 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 166011826356288 in words is "one hundred sixty-six trillion, eleven billion, eight hundred twenty-six million, three hundred fifty-six thousand, two hundred eighty-eight".