16985908900 has 27 divisors (see below), whose sum is σ = 36862250691. Its totient is φ = 6793842240.

The previous prime is 16985908897. The next prime is 16985908939. The reversal of 16985908900 is 980958961.

The square root of 16985908900 is 130330.

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

16985908900 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 4 ways, for example, as 4691556 + 16981217344 = 2166^2 + 130312^2 .

It is a super-2 number, since 2×16985908900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 1296784 + ... + 1309816.

Almost surely, 2^16985908900 is an apocalyptic number.

16985908900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16985908900 is the 130330-th square number.

It is an amenable number.

16985908900 is an abundant number, since it is smaller than the sum of its proper divisors (19876341791).

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

16985908900 is an frugal number, since it uses more digits than its factorization.

16985908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 55.

The spelling of 16985908900 in words is "sixteen billion, nine hundred eighty-five million, nine hundred eight thousand, nine hundred".