16728151104 has 336 divisors, whose sum is σ = 58377458048. Its totient is φ = 4649177088.

The previous prime is 16728151103. The next prime is 16728151109. The reversal of 16728151104 is 40115182761.

16728151104 is a `hidden beast` number, since 1 + 67 + 2 + 81 + 511 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16728151103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4025892 + ... + 4030044.

Almost surely, 2^16728151104 is an apocalyptic number.

16728151104 is a gapful number since it is divisible by the number (14) 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 16728151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29188729024).

16728151104 is an abundant number, since it is smaller than the sum of its proper divisors (41649306944).

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

16728151104 is an equidigital number, since it uses as much as digits as its factorization.

16728151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 16728151104 in words is "sixteen billion, seven hundred twenty-eight million, one hundred fifty-one thousand, one hundred four".