16275442176 has 480 divisors, whose sum is σ = 56379248640. Its totient is φ = 4421910528.

The previous prime is 16275442159. The next prime is 16275442207. The reversal of 16275442176 is 67124457261.

16275442176 is a `hidden beast` number, since 1 + 627 + 5 + 4 + 4 + 2 + 17 + 6 = 666.

It is a super-2 number, since 2×16275442176² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118798780 + ... + 118798916.

It is an arithmetic number, because the mean of its divisors is an integer number (117456768).

Almost surely, 2^16275442176 is an apocalyptic number.

16275442176 is a gapful number since it is divisible by the number (16) 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 16275442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28189624320).

16275442176 is an abundant number, since it is smaller than the sum of its proper divisors (40103806464).

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

16275442176 is a wasteful number, since it uses less digits than its factorization.

16275442176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 16275442176 in words is "sixteen billion, two hundred seventy-five million, four hundred forty-two thousand, one hundred seventy-six".