166896288000 has 1296 divisors, whose sum is σ = 679685400576. Its totient is φ = 40758681600.

The previous prime is 166896287993. The next prime is 166896288007. The reversal of 166896288000 is 882698661.

It is a happy number.

166896288000 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 628 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166896287993) and next prime (166896288007).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (166896288007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1314143937 + ... + 1314144063.

Almost surely, 2^166896288000 is an apocalyptic number.

166896288000 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 166896288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339842700288).

166896288000 is an abundant number, since it is smaller than the sum of its proper divisors (512789112576).

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

166896288000 is an equidigital number, since it uses as much as digits as its factorization.

166896288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 166896288000 in words is "one hundred sixty-six billion, eight hundred ninety-six million, two hundred eighty-eight thousand".