16540739712 has 384 divisors, whose sum is σ = 57951504000. Its totient is φ = 4423237632.

The previous prime is 16540739701. The next prime is 16540739729. The reversal of 16540739712 is 21793704561.

16540739712 is a `hidden beast` number, since 1 + 6 + 540 + 7 + 3 + 97 + 12 = 666.

16540739712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13635618 + ... + 13636830.

It is an arithmetic number, because the mean of its divisors is an integer number (150915375).

Almost surely, 2^16540739712 is an apocalyptic number.

16540739712 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 16540739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28975752000).

16540739712 is an abundant number, since it is smaller than the sum of its proper divisors (41410764288).

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

16540739712 is a wasteful number, since it uses less digits than its factorization.

16540739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 16540739712 in words is "sixteen billion, five hundred forty million, seven hundred thirty-nine thousand, seven hundred twelve".