20006520730560 has 1344 divisors, whose sum is σ = 88547443367040. Its totient is φ = 4214935388160.

The previous prime is 20006520730531. The next prime is 20006520730613. The reversal of 20006520730560 is 6503702560002.

It is a happy number.

20006520730560 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 6 + 5 + 20 + 73 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×20006520730560² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4386430680 + ... + 4386435240.

It is an arithmetic number, because the mean of its divisors is an integer number (65883514410).

Almost surely, 2^{20006520730560} is an apocalyptic number.

20006520730560 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 20006520730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273721683520).

20006520730560 is an abundant number, since it is smaller than the sum of its proper divisors (68540922636480).

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

20006520730560 is a wasteful number, since it uses less digits than its factorization.

20006520730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

It can be divided in two parts, 200065 and 20730560, that added together give a square (20930625 = 4575²).

The spelling of 20006520730560 in words is "twenty trillion, six billion, five hundred twenty million, seven hundred thirty thousand, five hundred sixty".