20268689760 has 288 divisors, whose sum is σ = 75698636832. Its totient is φ = 4897751040.

The previous prime is 20268689677. The next prime is 20268689803. The reversal of 20268689760 is 6798686202.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20268689697 and 20268689706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5336182 + ... + 5339978.

It is an arithmetic number, because the mean of its divisors is an integer number (262842489).

Almost surely, 2^20268689760 is an apocalyptic number.

20268689760 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 20268689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849318416).

20268689760 is an abundant number, since it is smaller than the sum of its proper divisors (55429947072).

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

20268689760 is a wasteful number, since it uses less digits than its factorization.

20268689760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20268689760 in words is "twenty billion, two hundred sixty-eight million, six hundred eighty-nine thousand, seven hundred sixty".