16027682496 has 336 divisors, whose sum is σ = 51599665152. Its totient is φ = 4296499200.

The previous prime is 16027682453. The next prime is 16027682507. The reversal of 16027682496 is 69428672061.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57037876 + ... + 57038156.

It is an arithmetic number, because the mean of its divisors is an integer number (153570432).

Almost surely, 2^16027682496 is an apocalyptic number.

16027682496 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 16027682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799832576).

16027682496 is an abundant number, since it is smaller than the sum of its proper divisors (35571982656).

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

16027682496 is a wasteful number, since it uses less digits than its factorization.

16027682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 16027682496 in words is "sixteen billion, twenty-seven million, six hundred eighty-two thousand, four hundred ninety-six".