16788415104 has 112 divisors (see below), whose sum is σ = 50145845370. Its totient is φ = 5596107264.

The previous prime is 16788415103. The next prime is 16788415109. The reversal of 16788415104 is 40151488761.

16788415104 is a `hidden beast` number, since 16 + 7 + 88 + 41 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10974657600 + 5813757504 = 104760^2 + 76248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16788415104.

It is not an unprimeable number, because it can be changed into a prime (16788415103) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3354 + ... + 183270.

Almost surely, 2^16788415104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16788415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072922685).

16788415104 is an abundant number, since it is smaller than the sum of its proper divisors (33357430266).

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

16788415104 is an frugal number, since it uses more digits than its factorization.

16788415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179949 (or 179922 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 16788415104 in words is "sixteen billion, seven hundred eighty-eight million, four hundred fifteen thousand, one hundred four".