20560688064 has 336 divisors, whose sum is σ = 69559879168. Its totient is φ = 5683820544.

The previous prime is 20560688021. The next prime is 20560688081. The reversal of 20560688064 is 46088606502.

20560688064 is a `hidden beast` number, since 2 + 0 + 560 + 6 + 8 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20560688064² (a number of 21 digits) contains 22 as substring.

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, 42218829 + ... + 42219315.

Almost surely, 2^20560688064 is an apocalyptic number.

20560688064 is a gapful number since it is divisible by the number (24) 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 20560688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779939584).

20560688064 is an abundant number, since it is smaller than the sum of its proper divisors (48999191104).

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

20560688064 is a wasteful number, since it uses less digits than its factorization.

20560688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20560688064 in words is "twenty billion, five hundred sixty million, six hundred eighty-eight thousand, sixty-four".