20854709484224 has 448 divisors, whose sum is σ = 53557330885632. Its totient is φ = 7888561274880.

The previous prime is 20854709484209. The next prime is 20854709484229. The reversal of 20854709484224 is 42248490745802.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20854709484224² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20854709484229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3065513207 + ... + 3065520009.

It is an arithmetic number, because the mean of its divisors is an integer number (119547613584).

Almost surely, 2^{20854709484224} 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 20854709484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26778665442816).

20854709484224 is an abundant number, since it is smaller than the sum of its proper divisors (32702621401408).

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

20854709484224 is an equidigital number, since it uses as much as digits as its factorization.

20854709484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 59.

The spelling of 20854709484224 in words is "twenty trillion, eight hundred fifty-four billion, seven hundred nine million, four hundred eighty-four thousand, two hundred twenty-four".