16560162072 has 128 divisors (see below), whose sum is σ = 47283667200. Its totient is φ = 5366995200.

The previous prime is 16560162071. The next prime is 16560162083. The reversal of 16560162072 is 27026106561.

It is a happy number.

16560162072 is a `hidden beast` number, since 1 + 6 + 560 + 1 + 6 + 20 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16560162071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715747 + ... + 2721837.

It is an arithmetic number, because the mean of its divisors is an integer number (369403650).

Almost surely, 2^16560162072 is an apocalyptic number.

16560162072 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 16560162072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641833600).

16560162072 is an abundant number, since it is smaller than the sum of its proper divisors (30723505128).

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

16560162072 is a wasteful number, since it uses less digits than its factorization.

16560162072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16560162072 in words is "sixteen billion, five hundred sixty million, one hundred sixty-two thousand, seventy-two".