16128403200 has 1296 divisors, whose sum is σ = 75559288896. Its totient is φ = 3185049600.

The previous prime is 16128403147. The next prime is 16128403223. The reversal of 16128403200 is 230482161.

16128403200 is a `hidden beast` number, since 1 + 61 + 284 + 0 + 320 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89107110 + ... + 89107290.

Almost surely, 2^16128403200 is an apocalyptic number.

16128403200 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 16128403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779644448).

16128403200 is an abundant number, since it is smaller than the sum of its proper divisors (59430885696).

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

16128403200 is a wasteful number, since it uses less digits than its factorization.

16128403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 16128403200 its reverse (230482161), we get a palindrome (16358885361).

It can be divided in two parts, 16128 and 403200, that multiplied together give a square (6502809600 = 80640²).

The spelling of 16128403200 in words is "sixteen billion, one hundred twenty-eight million, four hundred three thousand, two hundred".