20572968960 has 576 divisors, whose sum is σ = 77680512000. Its totient is φ = 5016453120.

The previous prime is 20572968959. The next prime is 20572969037. The reversal of 20572968960 is 6986927502.

20572968960 is a `hidden beast` number, since 2 + 0 + 572 + 9 + 6 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 20572968897 and 20572968906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54282051 + ... + 54282429.

It is an arithmetic number, because the mean of its divisors is an integer number (134862000).

Almost surely, 2^20572968960 is an apocalyptic number.

20572968960 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 20572968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840256000).

20572968960 is an abundant number, since it is smaller than the sum of its proper divisors (57107543040).

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

20572968960 is a wasteful number, since it uses less digits than its factorization.

20572968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20572968960 in words is "twenty billion, five hundred seventy-two million, nine hundred sixty-eight thousand, nine hundred sixty".