16125682176 has 480 divisors, whose sum is σ = 51619696128. Its totient is φ = 5016453120.

The previous prime is 16125682171. The next prime is 16125682273. The reversal of 16125682176 is 67128652161.

16125682176 is a `hidden beast` number, since 1 + 6 + 12 + 568 + 2 + 1 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (16125682171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142705096 + ... + 142705208.

Almost surely, 2^16125682176 is an apocalyptic number.

16125682176 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 16125682176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809848064).

16125682176 is an abundant number, since it is smaller than the sum of its proper divisors (35494013952).

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

16125682176 is an equidigital number, since it uses as much as digits as its factorization.

16125682176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 16125682176 in words is "sixteen billion, one hundred twenty-five million, six hundred eighty-two thousand, one hundred seventy-six".