20521348848 has 960 divisors, whose sum is σ = 83194675200. Its totient is φ = 4546160640.

The previous prime is 20521348843. The next prime is 20521348871. The reversal of 20521348848 is 84884312502.

20521348848 is a `hidden beast` number, since 2 + 0 + 521 + 3 + 4 + 88 + 48 = 666.

It is a super-2 number, since 2×20521348848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20521348843) 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 191 ways as a sum of consecutive naturals, for example, 161585361 + ... + 161585487.

It is an arithmetic number, because the mean of its divisors is an integer number (86661120).

Almost surely, 2^20521348848 is an apocalyptic number.

20521348848 is a gapful number since it is divisible by the number (28) 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 20521348848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41597337600).

20521348848 is an abundant number, since it is smaller than the sum of its proper divisors (62673326352).

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

20521348848 is a wasteful number, since it uses less digits than its factorization.

20521348848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 20521348848 in words is "twenty billion, five hundred twenty-one million, three hundred forty-eight thousand, eight hundred forty-eight".