16509263402016 has 1152 divisors, whose sum is σ = 61631957237760. Its totient is φ = 4067271014400.

The previous prime is 16509263402003. The next prime is 16509263402059. The reversal of 16509263402016 is 61020436290561.

16509263402016 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 9 + 2 + 634 + 0 + 2 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10455517515 + ... + 10455519093.

It is an arithmetic number, because the mean of its divisors is an integer number (53499962880).

Almost surely, 2^{16509263402016} is an apocalyptic number.

16509263402016 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 16509263402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815978618880).

16509263402016 is an abundant number, since it is smaller than the sum of its proper divisors (45122693835744).

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

16509263402016 is a wasteful number, since it uses less digits than its factorization.

16509263402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 16509263402016 its reverse (61020436290561), we get a palindrome (77529699692577).

The spelling of 16509263402016 in words is "sixteen trillion, five hundred nine billion, two hundred sixty-three million, four hundred two thousand, sixteen".