20530560960 has 1512 divisors, whose sum is σ = 96377613696. Its totient is φ = 3971358720.

The previous prime is 20530560923. The next prime is 20530560989. The reversal of 20530560960 is 6906503502.

20530560960 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 560 + 96 + 0 = 666.

It is a super-2 number, since 2×20530560960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 662276145 + ... + 662276175.

It is an arithmetic number, because the mean of its divisors is an integer number (63741808).

Almost surely, 2^20530560960 is an apocalyptic number.

20530560960 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 20530560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48188806848).

20530560960 is an abundant number, since it is smaller than the sum of its proper divisors (75847052736).

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

20530560960 is a wasteful number, since it uses less digits than its factorization.

20530560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 20530560960 in words is "twenty billion, five hundred thirty million, five hundred sixty thousand, nine hundred sixty".