169680002016 has 576 divisors, whose sum is σ = 557578764288. Its totient is φ = 44945252352.

The previous prime is 169680002003. The next prime is 169680002017. The reversal of 169680002016 is 610200086961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169680002017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728240236 + ... + 728240468.

It is an arithmetic number, because the mean of its divisors is an integer number (968018688).

Almost surely, 2^169680002016 is an apocalyptic number.

169680002016 is a gapful number since it is divisible by the number (16) 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 169680002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278789382144).

169680002016 is an abundant number, since it is smaller than the sum of its proper divisors (387898762272).

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

169680002016 is a wasteful number, since it uses less digits than its factorization.

169680002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 169680002016 its reverse (610200086961), we get a palindrome (779880088977).

The spelling of 169680002016 in words is "one hundred sixty-nine billion, six hundred eighty million, two thousand, sixteen".