16116216784800 has 1728 divisors, whose sum is σ = 62733724784640. Its totient is φ = 3556439040000.

The previous prime is 16116216784753. The next prime is 16116216784807. The reversal of 16116216784800 is 848761261161.

It is a super-2 number, since 2×16116216784800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16116216784807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41429863006 + ... + 41429863394.

It is an arithmetic number, because the mean of its divisors is an integer number (36304238880).

Almost surely, 2^{16116216784800} is an apocalyptic number.

16116216784800 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 16116216784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31366862392320).

16116216784800 is an abundant number, since it is smaller than the sum of its proper divisors (46617507999840).

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

16116216784800 is a wasteful number, since it uses less digits than its factorization.

16116216784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 16116216784800 in words is "sixteen trillion, one hundred sixteen billion, two hundred sixteen million, seven hundred eighty-four thousand, eight hundred".