16405804800 has 1296 divisors, whose sum is σ = 76389610752. Its totient is φ = 3384115200.

The previous prime is 16405804787. The next prime is 16405804837. The reversal of 16405804800 is 840850461.

16405804800 is a `hidden beast` number, since 1 + 640 + 5 + 8 + 0 + 4 + 8 + 0 + 0 = 666.

16405804800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×16405804800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119750332 + ... + 119750468.

Almost surely, 2^16405804800 is an apocalyptic number.

16405804800 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 16405804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38194805376).

16405804800 is an abundant number, since it is smaller than the sum of its proper divisors (59983805952).

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

16405804800 is a wasteful number, since it uses less digits than its factorization.

16405804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 16405804800 in words is "sixteen billion, four hundred five million, eight hundred four thousand, eight hundred".