16617633228800 has 1152 divisors, whose sum is σ = 47013440947200. Its totient is φ = 5796790272000.

The previous prime is 16617633228799. The next prime is 16617633228841. The reversal of 16617633228800 is 882233671661.

It is a happy number.

It is a super-2 number, since 2×16617633228800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 59137484660 + ... + 59137484940.

It is an arithmetic number, because the mean of its divisors is an integer number (40810278600).

Almost surely, 2^{16617633228800} is an apocalyptic number.

16617633228800 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 16617633228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506720473600).

16617633228800 is an abundant number, since it is smaller than the sum of its proper divisors (30395807718400).

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

16617633228800 is a wasteful number, since it uses less digits than its factorization.

16617633228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 16617633228800 in words is "sixteen trillion, six hundred seventeen billion, six hundred thirty-three million, two hundred twenty-eight thousand, eight hundred".