16591668440256 has 896 divisors, whose sum is σ = 62055711621120. Its totient is φ = 4228750540800.

The previous prime is 16591668440233. The next prime is 16591668440299. The reversal of 16591668440256 is 65204486619561.

16591668440256 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 166 + 8 + 440 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16591668440193 and 16591668440202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4275099436 + ... + 4275103316.

It is an arithmetic number, because the mean of its divisors is an integer number (69258606720).

Almost surely, 2^{16591668440256} is an apocalyptic number.

16591668440256 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 16591668440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31027855810560).

16591668440256 is an abundant number, since it is smaller than the sum of its proper divisors (45464043180864).

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

16591668440256 is a wasteful number, since it uses less digits than its factorization.

16591668440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 16591668440256 in words is "sixteen trillion, five hundred ninety-one billion, six hundred sixty-eight million, four hundred forty thousand, two hundred fifty-six".