20967520680 has 480 divisors, whose sum is σ = 76771015200. Its totient is φ = 5115737088.

The previous prime is 20967520669. The next prime is 20967520681. The reversal of 20967520680 is 8602576902.

20967520680 is a `hidden beast` number, since 2 + 0 + 9 + 67 + 520 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20967520681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 235590076 + ... + 235590164.

It is an arithmetic number, because the mean of its divisors is an integer number (159939615).

Almost surely, 2^20967520680 is an apocalyptic number.

20967520680 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 20967520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38385507600).

20967520680 is an abundant number, since it is smaller than the sum of its proper divisors (55803494520).

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

20967520680 is a wasteful number, since it uses less digits than its factorization.

20967520680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20967520680 in words is "twenty billion, nine hundred sixty-seven million, five hundred twenty thousand, six hundred eighty".