166251004416000 has 5824 divisors, whose sum is σ = 796414877406720. Its totient is φ = 33710564966400.

The previous prime is 166251004415989. The next prime is 166251004416047. The reversal of 166251004416000 is 614400152661.

166251004416000 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 5 + 1 + 0 + 0 + 4 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 843913727902 + ... + 843913728098.

Almost surely, 2^{166251004416000} is an apocalyptic number.

166251004416000 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 166251004416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398207438703360).

166251004416000 is an abundant number, since it is smaller than the sum of its proper divisors (630163872990720).

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

166251004416000 is an equidigital number, since it uses as much as digits as its factorization.

166251004416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 166251004416000 its reverse (614400152661), we get a palindrome (166865404568661).

The spelling of 166251004416000 in words is "one hundred sixty-six trillion, two hundred fifty-one billion, four million, four hundred sixteen thousand".