16907800900 has 27 divisors (see below), whose sum is σ = 36692749821. Its totient is φ = 6762600240.

The previous prime is 16907800873. The next prime is 16907800907. The reversal of 16907800900 is 900870961.

The square root of 16907800900 is 130030.

It is a perfect power (a square), and thus also a powerful number.

16907800900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6086808324 + 10820992576 = 78018^2 + 104024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16907800907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1293799 + ... + 1306801.

Almost surely, 2^16907800900 is an apocalyptic number.

16907800900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16907800900 is the 130030-th square number.

It is an amenable number.

16907800900 is an abundant number, since it is smaller than the sum of its proper divisors (19784948921).

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

16907800900 is an frugal number, since it uses more digits than its factorization.

16907800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26020 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 16907800900 in words is "sixteen billion, nine hundred seven million, eight hundred thousand, nine hundred".