20521144512 has 336 divisors, whose sum is σ = 66142282752. Its totient is φ = 6029783040.

The previous prime is 20521144507. The next prime is 20521144519. The reversal of 20521144512 is 21544112502.

It is a happy number.

20521144512 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 1 + 144 + 512 = 666.

It is a super-2 number, since 2×20521144512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20521144519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40797253 + ... + 40797755.

It is an arithmetic number, because the mean of its divisors is an integer number (196852032).

Almost surely, 2^20521144512 is an apocalyptic number.

20521144512 is a gapful number since it is divisible by the number (22) 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 20521144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33071141376).

20521144512 is an abundant number, since it is smaller than the sum of its proper divisors (45621138240).

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

20521144512 is a wasteful number, since it uses less digits than its factorization.

20521144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 20521144512 in words is "twenty billion, five hundred twenty-one million, one hundred forty-four thousand, five hundred twelve".