16404268608000 has 2560 divisors, whose sum is σ = 76142626560000. Its totient is φ = 3459494707200.

The previous prime is 16404268607981. The next prime is 16404268608041. The reversal of 16404268608000 is 80686240461.

16404268608000 is a `hidden beast` number, since 16 + 4 + 0 + 4 + 26 + 8 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7705150936 + ... + 7705153064.

It is an arithmetic number, because the mean of its divisors is an integer number (29743213500).

Almost surely, 2^{16404268608000} is an apocalyptic number.

16404268608000 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 16404268608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071313280000).

16404268608000 is an abundant number, since it is smaller than the sum of its proper divisors (59738357952000).

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

16404268608000 is an equidigital number, since it uses as much as digits as its factorization.

16404268608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16404268608000 in words is "sixteen trillion, four hundred four billion, two hundred sixty-eight million, six hundred eight thousand".