16229928960 has 624 divisors, whose sum is σ = 67231728000. Its totient is φ = 3703504896.

The previous prime is 16229928959. The next prime is 16229928971. The reversal of 16229928960 is 6982992261.

It is a happy number.

16229928960 is a `hidden beast` number, since 1 + 622 + 9 + 9 + 2 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16229928897 and 16229928906.

It is an unprimeable number.

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, 27094741 + ... + 27095339.

Almost surely, 2^16229928960 is an apocalyptic number.

16229928960 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 16229928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33615864000).

16229928960 is an abundant number, since it is smaller than the sum of its proper divisors (51001799040).

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

16229928960 is an equidigital number, since it uses as much as digits as its factorization.

16229928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 16229928960 in words is "sixteen billion, two hundred twenty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".