166253186880 has 1120 divisors, whose sum is σ = 669519290880. Its totient is φ = 39141273600.

The previous prime is 166253186863. The next prime is 166253186881. The reversal of 166253186880 is 88681352661.

166253186880 is a `hidden beast` number, since 1 + 6 + 625 + 3 + 1 + 8 + 6 + 8 + 8 + 0 = 666.

166253186880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166253186881) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2104470681 + ... + 2104470759.

Almost surely, 2^166253186880 is an apocalyptic number.

166253186880 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 166253186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334759645440).

166253186880 is an abundant number, since it is smaller than the sum of its proper divisors (503266104000).

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

166253186880 is an equidigital number, since it uses as much as digits as its factorization.

166253186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 166253186880 in words is "one hundred sixty-six billion, two hundred fifty-three million, one hundred eighty-six thousand, eight hundred eighty".