16788333120 has 448 divisors, whose sum is σ = 61109717760. Its totient is φ = 3870720000.

The previous prime is 16788333091. The next prime is 16788333127. The reversal of 16788333120 is 2133388761.

It is not an unprimeable number, because it can be changed into a prime (16788333127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23948770 + ... + 23949470.

It is an arithmetic number, because the mean of its divisors is an integer number (136405620).

Almost surely, 2^16788333120 is an apocalyptic number.

16788333120 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 16788333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30554858880).

16788333120 is an abundant number, since it is smaller than the sum of its proper divisors (44321384640).

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

16788333120 is a wasteful number, since it uses less digits than its factorization.

16788333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 16788333120 in words is "sixteen billion, seven hundred eighty-eight million, three hundred thirty-three thousand, one hundred twenty".