16006565560 has 96 divisors (see below), whose sum is σ = 39292954560. Its totient is φ = 5862979584.

The previous prime is 16006565551. The next prime is 16006565569. The reversal of 16006565560 is 6556560061.

16006565560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16006565551) and next prime (16006565569).

It is a super-3 number, since 3×16006565560³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16006565569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 409009 + ... + 446431.

It is an arithmetic number, because the mean of its divisors is an integer number (409301610).

Almost surely, 2^16006565560 is an apocalyptic number.

16006565560 is a gapful number since it is divisible by the number (10) 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 16006565560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646477280).

16006565560 is an abundant number, since it is smaller than the sum of its proper divisors (23286389000).

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

16006565560 is a wasteful number, since it uses less digits than its factorization.

16006565560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37505 (or 37484 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

It can be divided in two parts, 160065 and 65560, that added together give a square (225625 = 475²).

The spelling of 16006565560 in words is "sixteen billion, six million, five hundred sixty-five thousand, five hundred sixty".