16788325440 has 112 divisors (see below), whose sum is σ = 53852746752. Its totient is φ = 4430708736.

The previous prime is 16788325429. The next prime is 16788325441. The reversal of 16788325440 is 4452388761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16788325440.

It is not an unprimeable number, because it can be changed into a prime (16788325441) 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 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 183263.

It is an arithmetic number, because the mean of its divisors is an integer number (480828096).

Almost surely, 2^16788325440 is an apocalyptic number.

16788325440 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 16788325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926373376).

16788325440 is an abundant number, since it is smaller than the sum of its proper divisors (37064421312).

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

16788325440 is a wasteful number, since it uses less digits than its factorization.

16788325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180404 (or 180394 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 16788325440 in words is "sixteen billion, seven hundred eighty-eight million, three hundred twenty-five thousand, four hundred forty".