20824538112 has 264 divisors, whose sum is σ = 70327976576. Its totient is φ = 5810724864.

The previous prime is 20824538087. The next prime is 20824538129. The reversal of 20824538112 is 21183542802.

It is a happy number.

20824538112 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 4 + 538 + 112 = 666.

It is a super-2 number, since 2×20824538112² (a number of 21 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770263 + ... + 2777769.

Almost surely, 2^20824538112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20824538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163988288).

20824538112 is an abundant number, since it is smaller than the sum of its proper divisors (49503438464).

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

20824538112 is a wasteful number, since it uses less digits than its factorization.

20824538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20824538112 in words is "twenty billion, eight hundred twenty-four million, five hundred thirty-eight thousand, one hundred twelve".