16927408512 has 320 divisors, whose sum is σ = 57938284800. Its totient is φ = 4805692416.

The previous prime is 16927408507. The next prime is 16927408567. The reversal of 16927408512 is 21580472961.

16927408512 is a `hidden beast` number, since 1 + 6 + 92 + 7 + 40 + 8 + 512 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12990453 + ... + 12991755.

It is an arithmetic number, because the mean of its divisors is an integer number (181057140).

Almost surely, 2^16927408512 is an apocalyptic number.

16927408512 is a gapful number since it is divisible by the number (12) 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 16927408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969142400).

16927408512 is an abundant number, since it is smaller than the sum of its proper divisors (41010876288).

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

16927408512 is a wasteful number, since it uses less digits than its factorization.

16927408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16927408512 in words is "sixteen billion, nine hundred twenty-seven million, four hundred eight thousand, five hundred twelve".