16201108684800 has 912 divisors, whose sum is σ = 64111827622080. Its totient is φ = 3987398983680.

The previous prime is 16201108684699. The next prime is 16201108684847. The reversal of 16201108684800 is 848680110261.

16201108684800 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 1 + 108 + 68 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2300310079 + ... + 2300317121.

Almost surely, 2^{16201108684800} is an apocalyptic number.

16201108684800 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 16201108684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32055913811040).

16201108684800 is an abundant number, since it is smaller than the sum of its proper divisors (47910718937280).

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

16201108684800 is an frugal number, since it uses more digits than its factorization.

16201108684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 16201108684800 in words is "sixteen trillion, two hundred one billion, one hundred eight million, six hundred eighty-four thousand, eight hundred".