20727934656 has 448 divisors, whose sum is σ = 66976605696. Its totient is φ = 5573836800.

The previous prime is 20727934637. The next prime is 20727934657. The reversal of 20727934656 is 65643972702.

It is a junction number, because it is equal to n+sod(n) for n = 20727934599 and 20727934608.

It is not an unprimeable number, because it can be changed into a prime (20727934657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114518886 + ... + 114519066.

It is an arithmetic number, because the mean of its divisors is an integer number (149501352).

Almost surely, 2^20727934656 is an apocalyptic number.

20727934656 is a gapful number since it is divisible by the number (26) 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 20727934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488302848).

20727934656 is an abundant number, since it is smaller than the sum of its proper divisors (46248671040).

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

20727934656 is a wasteful number, since it uses less digits than its factorization.

20727934656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 20727934656 in words is "twenty billion, seven hundred twenty-seven million, nine hundred thirty-four thousand, six hundred fifty-six".