16685200211825 has 24 divisors (see below), whose sum is σ = 21047994326520. Its totient is φ = 13117368153600.

The previous prime is 16685200211803. The next prime is 16685200211831. The reversal of 16685200211825 is 52811200258661.

It can be written as a sum of positive squares in 12 ways, for example, as 11298525923584 + 5386674288241 = 3361328^2 + 2320921^2 .

It is not a de Polignac number, because 16685200211825 - 2¹⁸ = 16685199949681 is a prime.

It is a super-2 number, since 2×16685200211825² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16685200211825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3313910 + ... + 6659759.

It is an arithmetic number, because the mean of its divisors is an integer number (876999763605).

Almost surely, 2^{16685200211825} is an apocalyptic number.

It is an amenable number.

16685200211825 is a deficient number, since it is larger than the sum of its proper divisors (4362794114695).

16685200211825 is a wasteful number, since it uses less digits than its factorization.

16685200211825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974837 (or 9974832 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 16685200211825 in words is "sixteen trillion, six hundred eighty-five billion, two hundred million, two hundred eleven thousand, eight hundred twenty-five".