20410256160 has 864 divisors, whose sum is σ = 85880995200. Its totient is φ = 4409717760.

The previous prime is 20410256149. The next prime is 20410256227. The reversal of 20410256160 is 6165201402.

20410256160 is a `hidden beast` number, since 2 + 0 + 41 + 0 + 2 + 5 + 616 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 474657099 + ... + 474657141.

It is an arithmetic number, because the mean of its divisors is an integer number (99399300).

Almost surely, 2^20410256160 is an apocalyptic number.

20410256160 is a gapful number since it is divisible by the number (20) 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 20410256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940497600).

20410256160 is an abundant number, since it is smaller than the sum of its proper divisors (65470739040).

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

20410256160 is a wasteful number, since it uses less digits than its factorization.

20410256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20410256160 its reverse (6165201402), we get a palindrome (26575457562).

The spelling of 20410256160 in words is "twenty billion, four hundred ten million, two hundred fifty-six thousand, one hundred sixty".