20616268608 has 224 divisors, whose sum is σ = 65542485120. Its totient is φ = 6317015040.

The previous prime is 20616268591. The next prime is 20616268609. The reversal of 20616268608 is 80686261602.

20616268608 is a `hidden beast` number, since 2 + 0 + 6 + 16 + 26 + 8 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20616268609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5771463 + ... + 5775033.

It is an arithmetic number, because the mean of its divisors is an integer number (292600380).

Almost surely, 2^20616268608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20616268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32771242560).

20616268608 is an abundant number, since it is smaller than the sum of its proper divisors (44926216512).

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

20616268608 is a wasteful number, since it uses less digits than its factorization.

20616268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20616268608 in words is "twenty billion, six hundred sixteen million, two hundred sixty-eight thousand, six hundred eight".