16268428800 has 1200 divisors, whose sum is σ = 69623481312. Its totient is φ = 3715891200.

The previous prime is 16268428777. The next prime is 16268428807. The reversal of 16268428800 is 882486261.

16268428800 is a `hidden beast` number, since 162 + 68 + 428 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268428807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 229132765 + ... + 229132835.

Almost surely, 2^16268428800 is an apocalyptic number.

16268428800 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 16268428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34811740656).

16268428800 is an abundant number, since it is smaller than the sum of its proper divisors (53355052512).

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

16268428800 is a wasteful number, since it uses less digits than its factorization.

16268428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 16268428800 in words is "sixteen billion, two hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".