16889727488256 has 2304 divisors, whose sum is σ = 63208114421760. Its totient is φ = 4401937612800.

The previous prime is 16889727488191. The next prime is 16889727488261. The reversal of 16889727488256 is 65288472798861.

16889727488256 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 97 + 27 + 488 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276880778466 + ... + 276880778526.

It is an arithmetic number, because the mean of its divisors is an integer number (27434077440).

Almost surely, 2^{16889727488256} is an apocalyptic number.

16889727488256 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 16889727488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31604057210880).

16889727488256 is an abundant number, since it is smaller than the sum of its proper divisors (46318386933504).

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

16889727488256 is an frugal number, since it uses more digits than its factorization.

16889727488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 16889727488256 in words is "sixteen trillion, eight hundred eighty-nine billion, seven hundred twenty-seven million, four hundred eighty-eight thousand, two hundred fifty-six".