20456819712 has 528 divisors, whose sum is σ = 74677704192. Its totient is φ = 5255331840.

The previous prime is 20456819707. The next prime is 20456819771. The reversal of 20456819712 is 21791865402.

20456819712 is a `hidden beast` number, since 2 + 0 + 4 + 568 + 19 + 71 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25223787 + ... + 25224597.

Almost surely, 2^20456819712 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 20456819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37338852096).

20456819712 is an abundant number, since it is smaller than the sum of its proper divisors (54220884480).

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

20456819712 is a wasteful number, since it uses less digits than its factorization.

20456819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 20456819712 in words is "twenty billion, four hundred fifty-six million, eight hundred nineteen thousand, seven hundred twelve".