161427168000 has 2160 divisors, whose sum is σ = 738932882688. Its totient is φ = 34836480000.

The previous prime is 161427167987. The next prime is 161427168103. The reversal of 161427168000 is 861724161.

It is a happy number.

161427168000 is a `hidden beast` number, since 1 + 614 + 27 + 16 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3937247980 + ... + 3937248020.

Almost surely, 2^161427168000 is an apocalyptic number.

161427168000 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 161427168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369466441344).

161427168000 is an abundant number, since it is smaller than the sum of its proper divisors (577505714688).

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

161427168000 is an equidigital number, since it uses as much as digits as its factorization.

161427168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 161427168000 in words is "one hundred sixty-one billion, four hundred twenty-seven million, one hundred sixty-eight thousand".