16568765460 has 288 divisors, whose sum is σ = 58071162240. Its totient is φ = 3937393152.

The previous prime is 16568765443. The next prime is 16568765497. The reversal of 16568765460 is 6456786561.

16568765460 is a `hidden beast` number, since 1 + 6 + 568 + 76 + 5 + 4 + 6 + 0 = 666.

16568765460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16568765397 and 16568765406.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1827699 + ... + 1836741.

It is an arithmetic number, because the mean of its divisors is an integer number (201635980).

Almost surely, 2^16568765460 is an apocalyptic number.

16568765460 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 16568765460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29035581120).

16568765460 is an abundant number, since it is smaller than the sum of its proper divisors (41502396780).

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

16568765460 is a wasteful number, since it uses less digits than its factorization.

16568765460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16568765460 in words is "sixteen billion, five hundred sixty-eight million, seven hundred sixty-five thousand, four hundred sixty".