20947753830960 has 640 divisors, whose sum is σ = 80246385331200. Its totient is φ = 4979416965120.

The previous prime is 20947753830953. The next prime is 20947753830961. The reversal of 20947753830960 is 6903835774902.

20947753830960 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 7 + 7 + 538 + 3 + 0 + 96 + 0 = 666.

It is a super-3 number, since 3×20947753830960³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20947753830961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2630631939 + ... + 2630639901.

It is an arithmetic number, because the mean of its divisors is an integer number (125384977080).

Almost surely, 2^{20947753830960} is an apocalyptic number.

20947753830960 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 20947753830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40123192665600).

20947753830960 is an abundant number, since it is smaller than the sum of its proper divisors (59298631500240).

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

20947753830960 is a wasteful number, since it uses less digits than its factorization.

20947753830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 20947753830960 in words is "twenty trillion, nine hundred forty-seven billion, seven hundred fifty-three million, eight hundred thirty thousand, nine hundred sixty".