20453779584 has 256 divisors, whose sum is σ = 69335193600. Its totient is φ = 5814789120.

The previous prime is 20453779583. The next prime is 20453779589. The reversal of 20453779584 is 48597735402.

It is a happy number.

20453779584 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 7 + 7 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20453779584.

It is not an unprimeable number, because it can be changed into a prime (20453779583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5102509 + ... + 5106515.

It is an arithmetic number, because the mean of its divisors is an integer number (270840600).

Almost surely, 2^20453779584 is an apocalyptic number.

20453779584 is a gapful number since it is divisible by the number (24) 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 20453779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34667596800).

20453779584 is an abundant number, since it is smaller than the sum of its proper divisors (48881414016).

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

20453779584 is a wasteful number, since it uses less digits than its factorization.

20453779584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 20453779584 in words is "twenty billion, four hundred fifty-three million, seven hundred seventy-nine thousand, five hundred eighty-four".