166074502538880 has 1920 divisors, whose sum is σ = 714210213024000. Its totient is φ = 36449357266944.

The previous prime is 166074502538849. The next prime is 166074502538881. The reversal of 166074502538880 is 88835205470661.

166074502538880 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 7 + 450 + 25 + 3 + 88 + 80 = 666.

166074502538880 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 (1920).

It is not an unprimeable number, because it can be changed into a prime (166074502538881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3700472281 + ... + 3700517159.

It is an arithmetic number, because the mean of its divisors is an integer number (371984485950).

Almost surely, 2^{166074502538880} is an apocalyptic number.

166074502538880 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 166074502538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357105106512000).

166074502538880 is an abundant number, since it is smaller than the sum of its proper divisors (548135710485120).

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

166074502538880 is a wasteful number, since it uses less digits than its factorization.

166074502538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44976 (or 44938 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 166074502538880 in words is "one hundred sixty-six trillion, seventy-four billion, five hundred two million, five hundred thirty-eight thousand, eight hundred eighty".